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1

Tsuiki, Shigeya, and Takahiro Haga. "AND-inverse detecting circuit for the combinatorial logic circuits." Electronics and Communications in Japan (Part III: Fundamental Electronic Science) 73, no. 11 (1990): 51–60. http://dx.doi.org/10.1002/ecjc.4430731106.

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Matsushima, Ayano, and Ann M. Graybiel. "Combinatorial Developmental Controls on Striatonigral Circuits." Cell Reports 38, no. 2 (January 2022): 110272. http://dx.doi.org/10.1016/j.celrep.2021.110272.

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Matsushima, Ayano, and Ann M. Graybiel. "Combinatorial Developmental Controls on Striatonigral Circuits." Cell Reports 31, no. 11 (June 2020): 107778. http://dx.doi.org/10.1016/j.celrep.2020.107778.

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Donovan, Zola, Gregory Gutin, Vahan Mkrtchyan, and K. Subramani. "Clustering without replication in combinatorial circuits." Journal of Combinatorial Optimization 38, no. 2 (February 21, 2019): 481–501. http://dx.doi.org/10.1007/s10878-019-00394-1.

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Fang, K. Y., and A. S. Wojcik. "Modular decomposition of combinatorial multiple-values circuits." IEEE Transactions on Computers 37, no. 10 (1988): 1293–301. http://dx.doi.org/10.1109/12.5993.

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Chen, Ethan, and Vanessa Chen. "Statistical RF/Analog Integrated Circuit Design Using Combinatorial Randomness for Hardware Security Applications." Mathematics 8, no. 5 (May 20, 2020): 829. http://dx.doi.org/10.3390/math8050829.

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While integrated circuit technologies keep scaling aggressively, analog, mixed-signal, and radio-frequency (RF) circuits encounter challenges by creating robust designs in advanced complementary metal–oxide–semiconductor (CMOS) processes with the diminishing voltage headroom. The increasing random mismatch of smaller feature sizes in leading-edge technology nodes severely limit the benefits of scaling for (RF)/analog circuits. This paper describes the details of the combinatorial randomness by statistically selecting device elements that relies on the significant growth in subsets number of co
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URAHAMA, KIICHI, and SHIN-ICHIRO UENO. "A GRADIENT SYSTEM SOLUTION TO POTTS MEAN FIELD EQUATIONS AND ITS ELECTRONIC IMPLEMENTATION." International Journal of Neural Systems 04, no. 01 (March 1993): 27–34. http://dx.doi.org/10.1142/s0129065793000043.

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A gradient system solution method is presented for solving Potts mean field equations for combinatorial optimization problems subject to winner-take-all constraints. In the proposed solution method the optimum solution is searched by using gradient descent differential equations whose trajectory is confined within the feasible solution space of optimization problems. This gradient system is proven theoretically to always produce a legal local optimum solution of combinatorial optimization problems. An elementary analog electronic circuit implementing the presented method is designed on the bas
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Wróblewski, Artur, Christian V. Schimpfle, Otto Schumacher, and Josef A. Nossek. "Minimizing Spurious Switching Activities with Transistor Sizing." VLSI Design 15, no. 2 (January 1, 2002): 537–45. http://dx.doi.org/10.1080/1065514021000012156.

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In combinatorial blocks of static CMOS circuits transistor sizing can be applied for delay balancing as to guarantee synchronously arriving signal slopes at the input of logic gates, thereby avoiding glitches. Since the delay of logic gates depends directly on transistor sizes, their variation allows equalizing different path delays without influencing the total delay of the circuit. Unfortunately, not only the delay, but also power consumption circuits depend on the transistor sizes. To achieve optimal results, transistor lengths have to be increased, which results in both increased gate capa
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Zhu, Enqiang, Congzhou Chen, Yongsheng Rao, and Weicheng Xiong. "Biochemical Logic Circuits Based on DNA Combinatorial Displacement." IEEE Access 8 (2020): 34096–103. http://dx.doi.org/10.1109/access.2020.2974024.

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10

Fujiwara, Yuichiro, and Charles J. Colbourn. "A Combinatorial Approach to X-Tolerant Compaction Circuits." IEEE Transactions on Information Theory 56, no. 7 (July 2010): 3196–206. http://dx.doi.org/10.1109/tit.2010.2048468.

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Vakhania, Nodari, and Frank Werner. "Near to Optimal Size Selection in Combinatorial Circuits." IFAC Proceedings Volumes 45, no. 6 (May 2012): 63–68. http://dx.doi.org/10.3182/20120523-3-ro-2023.00060.

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Waites, William, Göksel Mısırlı, Matteo Cavaliere, Vincent Danos, and Anil Wipat. "A Genetic Circuit Compiler: Generating Combinatorial Genetic Circuits with Web Semantics and Inference." ACS Synthetic Biology 7, no. 12 (November 8, 2018): 2812–23. http://dx.doi.org/10.1021/acssynbio.8b00201.

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MELKONIAN, VARDGES. "CIRCUIT INTEGRATION THROUGH LATTICE HYPERTERMS." Discrete Mathematics, Algorithms and Applications 03, no. 01 (March 2011): 101–19. http://dx.doi.org/10.1142/s179383091100105x.

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Reducing the size of a logic circuit through lattice identities is an important and well-studied discrete optimization problem. In this paper, we consider a related problem of integrating several circuits into a single hypercircuit using the recently developed concept of lattice hyperterms. We give a combinatorial algorithm for integrating k-out-of-n symmetrical diagrams which play an important role in reliability theory. Our results show that the integration can reduce the number of circuit gates by more than twice.
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14

Kubica, Marcin, Adam Opara, and Dariusz Kania. "Logic Synthesis Strategy Oriented to Low Power Optimization." Applied Sciences 11, no. 19 (September 22, 2021): 8797. http://dx.doi.org/10.3390/app11198797.

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The article presents a synthesis strategy focused on low power implementations of combinatorial circuits in an array-type FPGA structure. Logic functions are described by means of BDD. A new form of the SWitch activity BDD diagram (SWBDD) is proposed, which enables a function decomposition to minimize the switching activity of circuits. The essence of the proposed idea lies in the proper ordering of the variables and cutting the diagram, ensuring the minimization of switching in the combination circuit. This article contains the results of experiments confirming the effectiveness of the develo
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15

Caravelli, Francesco. "Asymptotic Behavior of Memristive Circuits." Entropy 21, no. 8 (August 13, 2019): 789. http://dx.doi.org/10.3390/e21080789.

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The interest in memristors has risen due to their possible application both as memory units and as computational devices in combination with CMOS. This is in part due to their nonlinear dynamics, and a strong dependence on the circuit topology. We provide evidence that also purely memristive circuits can be employed for computational purposes. In the present paper we show that a polynomial Lyapunov function in the memory parameters exists for the case of DC controlled memristors. Such a Lyapunov function can be asymptotically approximated with binary variables, and mapped to quadratic combinat
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Gopsill, James, Guy Johns, and Ben Hicks. "QUANTUM COMBINATORIAL DESIGN." Proceedings of the Design Society 1 (July 27, 2021): 2511–20. http://dx.doi.org/10.1017/pds.2021.512.

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AbstractCombinatorial Design such as configuration design, design optioneering, component selection, and generative design, is common across engineering. Generating solutions for a combinatorial design task often involves the application of classical computing solvers that can either map or navigate design spaces. However, it has been observed that classical computing resource power-law scales with many design space models. This observation suggests classical computing may not be capable of modelling our future design space needs.To meet future design space modelling needs, this paper examines
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17

Wozniak, Ryan J., Sunduz Keles, Jesse J. Lugus, Ken H. Young, Meghan E. Boyer, Tuan M. Tran, Kyunghee Choi, and Emery H. Bresnick. "Molecular Hallmarks of Endogenous Chromatin Complexes Containing Master Regulators of Hematopoiesis." Molecular and Cellular Biology 28, no. 21 (September 8, 2008): 6681–94. http://dx.doi.org/10.1128/mcb.01061-08.

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ABSTRACT Combinatorial interactions among trans-acting factors establish transcriptional circuits that orchestrate cellular differentiation, survival, and development. Unlike circuits instigated by individual factors, efforts to identify gene ensembles controlled by multiple factors simultaneously are in their infancy. A paradigm has emerged in which the important regulators of hematopoiesis GATA-1 and GATA-2 function combinatorially with Scl/TAL1, another key regulator of hematopoiesis. The underlying mechanism appears to involve preferential assembly of a multimeric complex on a composite DN
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18

Kampel, Ludwig, Paris Kitsos, and Dimitris E. Simos. "Locating Hardware Trojans Using Combinatorial Testing for Cryptographic Circuits." IEEE Access 10 (2022): 18787–806. http://dx.doi.org/10.1109/access.2022.3151378.

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19

Abdulbaqia, Alaa Ghazi, and Yasir Hashim. "Design and Implementation of General Hardware Binary Multiplier (2n x 2n) Bits." Journal of Physics: Conference Series 2312, no. 1 (August 1, 2022): 012084. http://dx.doi.org/10.1088/1742-6596/2312/1/012084.

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Abstract In this paper, a new general 2n x 2n bits hardware multiplier based on combinatorial has been designed, implemented and analysed. First, a new design for circuit to multiply two binary numbers with 2n bits length, this new design starts with basic 2x2 bits circuit multiplier, n here equal to 1. Then based on this circuit, the 4x4 bits circuit multiplier has been designed. And based on 4x4, the 8x8 bits multiplier has been designed and continually the 16x16 bits multiplier. The final design for general 2nx2n bits multiplier has been presented. All these circuits have been mathematicall
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20

CHEN, S. K., F. K. HWANG, and Y. C. LIU. "SOME COMBINATORIAL PROPERTIES OF MIXED CHORDAL RINGS." Journal of Interconnection Networks 04, no. 01 (March 2003): 3–16. http://dx.doi.org/10.1142/s0219265903000702.

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We propose a new network called the mixed chordal ring where the amount of hardware and its structure are very comparable to the (directed) double-loop network, and yet can achieve a better diameter. We also investigated other combinatorial properties such as connectivity and hamiltonian circuits in the mixed chordal ring.
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Khairy, Sami, Ruslan Shaydulin, Lukasz Cincio, Yuri Alexeev, and Prasanna Balaprakash. "Learning to Optimize Variational Quantum Circuits to Solve Combinatorial Problems." Proceedings of the AAAI Conference on Artificial Intelligence 34, no. 03 (April 3, 2020): 2367–75. http://dx.doi.org/10.1609/aaai.v34i03.5616.

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Quantum computing is a computational paradigm with the potential to outperform classical methods for a variety of problems. Proposed recently, the Quantum Approximate Optimization Algorithm (QAOA) is considered as one of the leading candidates for demonstrating quantum advantage in the near term. QAOA is a variational hybrid quantum-classical algorithm for approximately solving combinatorial optimization problems. The quality of the solution obtained by QAOA for a given problem instance depends on the performance of the classical optimizer used to optimize the variational parameters. In this p
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22

LEE, ORLANDO, and YOSHIKO WAKABAYASHI. "On the Circuit Cover Problem for Mixed Graphs." Combinatorics, Probability and Computing 11, no. 1 (January 2002): 43–59. http://dx.doi.org/10.1017/s0963548301004989.

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The circuit cover problem for mixed graphs (those containing edges and/or arcs) is defined as follows. Given a mixed graph M with a nonnegative integer weight function p on its edges and arcs, decide whether (M, p) has a circuit cover, that is, a list of circuits in M such that every edge (arc) e is contained in exactly p(e) circuits of the list. In the special case when M is a directed graph (contains only arcs), the problem is easy, but when M is an undirected graph not many results are known. For general mixed graphs this problem was shown to be NP-complete by Arkin and Papadimitriou in 198
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23

Blyudov, A. A., V. V. Sapozhnikov, and Vl V. Sapozhnikov. "A modified summation code for organizing control of combinatorial circuits." Automation and Remote Control 73, no. 1 (January 2012): 153–60. http://dx.doi.org/10.1134/s0005117912010122.

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Flaquer, J. Torras, J. M. Daveau, L. Naviner, and P. Roche. "Fast reliability analysis of combinatorial logic circuits using conditional probabilities." Microelectronics Reliability 50, no. 9-11 (September 2010): 1215–18. http://dx.doi.org/10.1016/j.microrel.2010.07.058.

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Alolaiyan, Hanan, Muhammad Aamir, Awais Yousaf, and Abdul Razaq. "Counting of Distinct Equivalence Classes of Circuits in PSL 2 , Z -Space." Journal of Mathematics 2022 (April 9, 2022): 1–9. http://dx.doi.org/10.1155/2022/4863429.

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Graham Higman was the first who studied the transitive actions of the extended modular group PGL 2 , Z over PL F q = F q ∪ ∞ graphically and named it as coset diagram. In these sorts of graphs, a closed path of edges and triangles is known as a circuit. Coset diagrams evolve through the joining of these circuits. In a coset diagram, a circuit is termed as a length- l circuit if its one vertex is fixed by x 1 x 2 π 1 x 1 x 2 − 1 π 2 x 1 x 2 π 3 , … , x 1 x 2 − 1 π l ∈ PSL 2 , Z , and it is denoted by π 1 , π 2 , π 3 , … , π l . In this study, we shall formulate combinatorial sequences and find
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26

Fan, Daoqing, Erkang Wang, and Shaojun Dong. "An intelligent universal system yields double results with half the effort for engineering a DNA “Contrary Logic Pairs” library and various DNA combinatorial logic circuits." Materials Horizons 4, no. 5 (2017): 924–31. http://dx.doi.org/10.1039/c7mh00564d.

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We proposed the concept “Contrary Logic Pairs” (CLPs), and constructed an intelligent universal system for engineering a DNA “CLPs” library and various combinatorial logic circuits based on two fluorescent substrates of G-quadruplex DNAzyme.
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Hasegawa, Tetsu, Kyoko Miura, Toshiaki Ohmameuda, and Hideo Ito. "Test generation for sequential circuits using state transition diagram and test generation for combinatorial circuit part." Electronics and Communications in Japan (Part II: Electronics) 84, no. 8 (August 2001): 20–28. http://dx.doi.org/10.1002/ecjb.1046.

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BANDYOPADHYAY, S., V. P. ROYCHOWDHURY, and D. B. JANES. "CHEMICALLY SELF-ASSEMBLED NANOELECTRONIC COMPUTING NETWORKS." International Journal of High Speed Electronics and Systems 09, no. 01 (March 1998): 1–35. http://dx.doi.org/10.1142/s0129156498000038.

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Recent advances in chemical self-assembly will soon make it possible to synthesize extremely powerful computing machinery from metallic clusters and organic molecules. These self-organized networks can function as Boolean logic circuits, associative memory, image processors, and combinatorial optimizers. Computational or signal processing activity is elicited from simple charge interactions between clusters which are resistively/capacitively linked by conjugated molecular wires or ribbons. The resulting circuits are massively parallel, fault-tolerant, ultrafast, ultradense and dissipate very l
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Zhang, Xuncai, Weiwei Zhang, Taotao Zhao, Yanfeng Wang, and Guangzhao Cui. "Design of Logic Circuits Based on Combinatorial Displacement of DNA Strands." Journal of Computational and Theoretical Nanoscience 12, no. 7 (July 1, 2015): 1161–64. http://dx.doi.org/10.1166/jctn.2015.3867.

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Schaerli, Yolanda, and Mark Isalan. "Building synthetic gene circuits from combinatorial libraries: screening and selection strategies." Molecular BioSystems 9, no. 7 (2013): 1559. http://dx.doi.org/10.1039/c2mb25483b.

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Roybal, Kole T., Levi J. Rupp, Leonardo Morsut, Whitney J. Walker, Krista A. McNally, Jason S. Park, and Wendell A. Lim. "Precision Tumor Recognition by T Cells With Combinatorial Antigen-Sensing Circuits." Cell 164, no. 4 (February 2016): 770–79. http://dx.doi.org/10.1016/j.cell.2016.01.011.

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Goldsworthy, Victoria, Geneva LaForce, Seth Abels, and Emil Khisamutdinov. "Fluorogenic RNA Aptamers: A Nano-platform for Fabrication of Simple and Combinatorial Logic Gates." Nanomaterials 8, no. 12 (November 28, 2018): 984. http://dx.doi.org/10.3390/nano8120984.

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RNA aptamers that bind non-fluorescent dyes and activate their fluorescence are highly sensitive, nonperturbing, and convenient probes in the field of synthetic biology. These RNA molecules, referred to as light-up aptamers, operate as molecular nanoswitches that alter folding and fluorescence function in response to ligand binding, which is important in biosensing and molecular computing. Herein, we demonstrate a conceptually new generation of smart RNA nano-devices based on malachite green (MG)-binding RNA aptamer, which fluorescence output controlled by addition of short DNA oligonucleotide
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Beneš, David, Petr Sosík, and Alfonso Rodríguez-Patón. "An Autonomous In Vivo Dual Selection Protocol for Boolean Genetic Circuits." Artificial Life 21, no. 2 (May 2015): 247–60. http://dx.doi.org/10.1162/artl_a_00160.

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Success in synthetic biology depends on the efficient construction of robust genetic circuitry. However, even the direct engineering of the simplest genetic elements (switches, logic gates) is a challenge and involves intense lab work. As the complexity of biological circuits grows, it becomes more complicated and less fruitful to rely on the rational design paradigm, because it demands many time-consuming trial-and-error cycles. One of the reasons is the context-dependent behavior of small assembly parts (like BioBricks), which in a complex environment often interact in an unpredictable way.
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BALL, CARSTEN F., and DIETER A. MLYNSKI. "FUZZY BI- AND MULTI-PARTITIONING FOR CIRCUITS REPRESENTED BY HYPERGRAPHS." Journal of Circuits, Systems and Computers 06, no. 05 (October 1996): 503–26. http://dx.doi.org/10.1142/s0218126696000340.

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A new strategy for partitioning hypergraphs in complex LSI and VLSI circuits is presented. A new fuzzy net-cut model has been developed to treat multi-pin-nets without splitting into two-pin-nets. The combinatorial optimization algorithm is derived from statistical physics. The circuit graph is modeled as a highly coupled spin system and the mean field approximation is used to achieve linear time complexity. Fuzzy partitioning enables a qualitative and macroscopic approach by interpreting the mean values of the spin system as fuzzy membership degrees. The proposed strategy is tested with MCNC
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Li, Zeyu, Junjie Wang, Zhao Huang, Nan Luo, and Quan Wang. "Towards Trust Hardware Deployment of Edge Computing: Mitigation of Hardware Trojans based on Evolvable Hardware." Applied Sciences 12, no. 13 (June 29, 2022): 6601. http://dx.doi.org/10.3390/app12136601.

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Hardware Trojans (HTs) are malicious hardware components designed to leak confidential information or cause the chip/circuit on which they are integrated to malfunction during operation. When we deploy such hardware platforms for edge computing, FPGA-based implementations of Coarse-Grained Reconfigurable Array (CGRA) are also currently falling victim to HT insertion. However, for CGRA, an evolvable hardware (EHW) platform, which has the ability to dynamically change its configuration and behavioral characteristics based on inputs from the environment, provides us with a new way to mitigate HT
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36

Su, Zhenhua. "Calculating Crossing Numbers of Graphs Using Combinatorial Principles." Mathematical Problems in Engineering 2022 (June 7, 2022): 1–8. http://dx.doi.org/10.1155/2022/4550953.

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The crossing numbers of graphs were started from Turán’s brick factory problem (TBFP). Because of its wide range of applications, it has been used in computer networks, electrical circuits, and biological engineering. Recently, many experts began to pay much attention to the crossing number of G \ e , which obtained from graph G by deleting an edge e . In this paper, by using some combinatorial skills, we determine the exact value of crossing numbers of K 1,4 , n \ e and K 2,3 , n \ e . These results are an in-depth work of TBFP, which will be beneficial to the further study of crossing number
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Morgenshtein, A., A. Fish, and I. A. Wagner. "Gate-diffusion input (GDI): a power-efficient method for digital combinatorial circuits." IEEE Transactions on Very Large Scale Integration (VLSI) Systems 10, no. 5 (October 2002): 566–81. http://dx.doi.org/10.1109/tvlsi.2002.801578.

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Santos-Moreno, Javier, and Yolanda Schaerli. "A Framework for the Modular and Combinatorial Assembly of Synthetic Gene Circuits." ACS Synthetic Biology 8, no. 7 (June 11, 2019): 1691–97. http://dx.doi.org/10.1021/acssynbio.9b00174.

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Mossé, B., and É. Remy. "A Combinatorial Exploration of Boolean Dynamics Generated by Isolated and Chorded Circuits." Acta Biotheoretica 68, no. 1 (August 12, 2019): 87–117. http://dx.doi.org/10.1007/s10441-019-09355-x.

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Kim, Hyo Jin, Timothy Lee Turner, and Yong-Su Jin. "Combinatorial genetic perturbation to refine metabolic circuits for producing biofuels and biochemicals." Biotechnology Advances 31, no. 6 (November 2013): 976–85. http://dx.doi.org/10.1016/j.biotechadv.2013.03.010.

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MIASNIKOV, ALEXEI G., ALEXANDER USHAKOV, and DONG WOOK WON. "POWER CIRCUITS, EXPONENTIAL ALGEBRA, AND TIME COMPLEXITY." International Journal of Algebra and Computation 22, no. 06 (August 31, 2012): 1250047. http://dx.doi.org/10.1142/s0218196712500476.

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Motivated by algorithmic problems from combinatorial group theory we study computational properties of integers equipped with binary operations +, -, z = x ⋅ 2y, z = x ⋅ 2-y (the former two are partial) and predicates < and =. Notice that in this case very large numbers, which are obtained as n towers of exponentiation in the base 2 can be realized as n applications of the operation x ⋅ 2y, so working with such numbers given in the usual binary expansions requires super exponential space. We define a new compressed representation for integers by power circuits (a particular type of straight
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Morel, Mathieu, Roman Shtrahman, Varda Rotter, Lior Nissim, and Roy H. Bar-Ziv. "Cellular heterogeneity mediates inherent sensitivity–specificity tradeoff in cancer targeting by synthetic circuits." Proceedings of the National Academy of Sciences 113, no. 29 (July 6, 2016): 8133–38. http://dx.doi.org/10.1073/pnas.1604391113.

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Synthetic gene circuits are emerging as a versatile means to target cancer with enhanced specificity by combinatorial integration of multiple expression markers. Such circuits must also be tuned to be highly sensitive because escape of even a few cells might be detrimental. However, the error rates of decision-making circuits in light of cellular variability in gene expression have so far remained unexplored. Here, we measure the single-cell response function of a tunable logic AND gate acting on two promoters in heterogeneous cell populations. Our analysis reveals an inherent tradeoff between
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Vahabi, Mohsen, Pavel Lyakhov, Ali Newaz Bahar, Akira Otsuki, and Khan A. Wahid. "Novel Reversible Comparator Design in Quantum Dot-Cellular Automata with Power Dissipation Analysis." Applied Sciences 12, no. 15 (August 4, 2022): 7846. http://dx.doi.org/10.3390/app12157846.

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In very large-scale integration (VLSI) circuits, a partial of energy lost leads to information loss in irreversible computing because, in conventional combinatorial circuits, each bit of information generates heat and power consumption, thus resulting in energy dissipation. When information is lost in conventional circuits, it will not be recoverable, as a result, the circuits are provided based on the reversible logic and according to reversible gates for data retrieval. Since comparators are one of the basic building blocks in digital logic design, in which they compare two numbers, the aim
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TRALDI, LORENZO. "A BRACKET POLYNOMIAL FOR GRAPHS, II: LINKS, EULER CIRCUITS AND MARKED GRAPHS." Journal of Knot Theory and Its Ramifications 19, no. 04 (April 2010): 547–86. http://dx.doi.org/10.1142/s0218216510007978.

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Let D be an oriented classical or virtual link diagram with directed universe [Formula: see text]. Let C denote a set of directed Euler circuits, one in each connected component of U. There is then an associated looped interlacement graph [Formula: see text] whose construction involves very little geometric information about the way D is drawn in the plane; consequently [Formula: see text] is different from other combinatorial structures associated with classical link diagrams, like the checkerboard graph, which can be difficult to extend to arbitrary virtual links. [Formula: see text] is dete
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Miki, Tsukasa, Ryo Okita, Moe Shimada, Daisuke Tsukayama, and Jun-ichi Shirakashi. "Variational Ansatz preparation to avoid CNOT-gates on noisy quantum devices for combinatorial optimizations." AIP Advances 12, no. 3 (March 1, 2022): 035247. http://dx.doi.org/10.1063/5.0077706.

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The variational quantum eigensolver (VQE), which is a quantum–classical hybrid approach, has latent powers to leverage near-term quantum devices by effectively managing a limited number of qubits with finite coherent lifetimes. While it is generally argued that the quantum approximate optimization algorithm (QAOA), which is a special case of VQE with a variational Ansatz based on the adiabatic theorem, may enable practical applications of noisy quantum devices for classical combinatorial optimizations, the strategy to improve the performance of this algorithm by increasing the circuit depth co
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Helman, P., and A. Rosenthal. "A decomposition scheme for the analysis of fault trees and other combinatorial circuits." IEEE Transactions on Reliability 38, no. 3 (1989): 312–27. http://dx.doi.org/10.1109/24.44173.

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Pradhan, Manjari, and Bhargab B. Bhattacharya. "COMEDI: Combinatorial Election of Diagnostic Vectors From Detection Test Sets for Logic Circuits." IEEE Transactions on Very Large Scale Integration (VLSI) Systems 25, no. 4 (April 2017): 1467–76. http://dx.doi.org/10.1109/tvlsi.2016.2642343.

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Lucay, Freddy, Edelmira Gálvez, and Luis Cisternas. "Design of Flotation Circuits Using Tabu-Search Algorithms: Multispecies, Equipment Design, and Profitability Parameters." Minerals 9, no. 3 (March 15, 2019): 181. http://dx.doi.org/10.3390/min9030181.

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The design of a flotation circuit based on optimization techniques requires a superstructure for representing a set of alternatives, a mathematical model for modeling the alternatives, and an optimization technique for solving the problem. The optimization techniques are classified into exact and approximate methods. The first has been widely used. However, the probability of finding an optimal solution decreases when the problem size increases. Genetic algorithms have been the approximate method used for designing flotation circuits when the studied problems were small. The Tabu-search algori
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Nakashima, Ai, Naoki Ihara, Mayo Shigeta, Hiroshi Kiyonari, Yuji Ikegaya, and Haruki Takeuchi. "Structured spike series specify gene expression patterns for olfactory circuit formation." Science 365, no. 6448 (June 6, 2019): eaaw5030. http://dx.doi.org/10.1126/science.aaw5030.

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Neural circuits emerge through the interplay of genetic programming and activity-dependent processes. During the development of the mouse olfactory map, axons segregate into distinct glomeruli in an olfactory receptor (OR)–dependent manner. ORs generate a combinatorial code of axon-sorting molecules whose expression is regulated by neural activity. However, it remains unclear how neural activity induces OR-specific expression patterns of axon-sorting molecules. We found that the temporal patterns of spontaneous neuronal spikes were not spatially organized but were correlated with the OR types.
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Pulvermüller, Friedemann. "Brain embodiment of syntax and grammar: Discrete combinatorial mechanisms spelt out in neuronal circuits." Brain and Language 112, no. 3 (March 2010): 167–79. http://dx.doi.org/10.1016/j.bandl.2009.08.002.

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