Academic literature on the topic 'Intersection digraphs'

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Journal articles on the topic "Intersection digraphs"

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Cary, Michael. "Vertices with the second neighborhood property in Eulerian digraphs." Opuscula Mathematica 39, no. 6 (2019): 765–72. http://dx.doi.org/10.7494/opmath.2019.39.6.765.

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The Second Neighborhood Conjecture states that every simple digraph has a vertex whose second out-neighborhood is at least as large as its first out-neighborhood, i.e. a vertex with the Second Neighborhood Property. A cycle intersection graph of an even graph is a new graph whose vertices are the cycles in a cycle decomposition of the original graph and whose edges represent vertex intersections of the cycles. By using a digraph variant of this concept, we prove that Eulerian digraphs which admit a simple cycle intersection graph not only adhere to the Second Neighborhood Conjecture, but that
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Chiaselotti, G., and T. Gentile. "Intersection properties of maximal directed cuts in digraphs." Discrete Mathematics 340, no. 1 (2017): 3171–75. http://dx.doi.org/10.1016/j.disc.2016.07.003.

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Liu, Xujun, Roberto Assis Machado, and Olgica Milenkovic. "Directed Intersection Representations and the Information Content of Digraphs." IEEE Transactions on Information Theory 67, no. 1 (2021): 347–57. http://dx.doi.org/10.1109/tit.2020.3033168.

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Lin, In-Jen, Malay K. Sen, and Douglas B. West. "Intersection representation of digraphs in trees with few leaves." Journal of Graph Theory 32, no. 4 (1999): 340–53. http://dx.doi.org/10.1002/(sici)1097-0118(199912)32:4<340::aid-jgt3>3.0.co;2-r.

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Bahadir, Selim, and Elvan Ceyhan. "A classification of isomorphism-invariant random digraphs." Contributions to Discrete Mathematics 15, no. 3 (2020): 43–74. http://dx.doi.org/10.55016/ojs/cdm.v15i3.62742.

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We classify isomorphism-invariant random digraphs \linebreak (IIRDs) according to where randomness lies, namely, on arcs, vertices, vertices and arcs together as arc random digraphs (ARD), vertex random digraphs (VRD), vertex-arc random digraphs (VARD) as an extension of the classification of isomorphism-invariant random graphs (IIRGs) \cite{beer:2011}, and introduce randomness in direction (together with arcs, vertices, etc.) also which in turn yield direction random digraphs (DRDs) and its variants, respectively. We demonstrate that for the number of vertices $n\ge 4$, ARDs and VRDs are mutu
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Akram, Muhammad, Wieslaw A. Dudek, and M. Murtaza Yousaf. "Regularity in Vague Intersection Graphs and Vague Line Graphs." Abstract and Applied Analysis 2014 (2014): 1–10. http://dx.doi.org/10.1155/2014/525389.

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Fuzzy graph theory is commonly used in computer science applications, particularly in database theory, data mining, neural networks, expert systems, cluster analysis, control theory, and image capturing. A vague graph is a generalized structure of a fuzzy graph that gives more precision, flexibility, and compatibility to a system when compared with systems that are designed using fuzzy graphs. In this paper, we introduce the notion of vague line graphs, and certain types of vague line graphs and present some of their properties. We also discuss an example application of vague digraphs.
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K. Rekha. "Structures of Nano-Topologies Via Graphs in the Human Double Circulation System." Communications on Applied Nonlinear Analysis 32, no. 6s (2025): 186–99. https://doi.org/10.52783/cana.v32.3286.

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Introduction: The key theme of present research work is to propose an initial left (resp. right) neighbourhood system for an ordering on nano-topological spaces. Based on these neighbourhoods, we explain how the connection between nano-topological spaces and digraph theory may be used in the study of human double circulation system. Objectives: The“most current findings and medical application methods utilize graph theory to demonstrate certain complicated structures with advanced application trends. The basis of this work is the creation of a“nano-topological structures for the supremacy posi
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Jr, Walter D. Morris,. "Acyclic digraphs giving rise to complete intersections." Journal of Commutative Algebra 11, no. 2 (2019): 241–64. http://dx.doi.org/10.1216/jca-2019-11-2-241.

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MCCLURE, MARK. "INTERSECTIONS OF SELF-SIMILAR SETS." Fractals 16, no. 02 (2008): 187–97. http://dx.doi.org/10.1142/s0218348x08003909.

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Szegő, László. "On covering intersecting set-systems by digraphs." Discrete Mathematics 234, no. 1-3 (2001): 187–89. http://dx.doi.org/10.1016/s0012-365x(00)00381-2.

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Dissertations / Theses on the topic "Intersection digraphs"

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Das, Sipra. "Intersection digraphs: an analogue of intersection graphs." Thesis, University of North Bengal, 1990. http://hdl.handle.net/123456789/580.

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Book chapters on the topic "Intersection digraphs"

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Zamfirescu, Christina M. D. "Transformations of Digraphs Viewed as Intersection Digraphs." In Convexity and Discrete Geometry Including Graph Theory. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-28186-5_2.

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Caucchiolo, Andrea, and Ferdinando Cicalese. "On the Intractability Landscape of Digraph Intersection Representations." In Lecture Notes in Computer Science. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-06678-8_20.

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Sinha, Kalyan, and Pinaki Majumdar. "Neutrosophic Soft Digraph." In Advances in Data Mining and Database Management. IGI Global, 2020. http://dx.doi.org/10.4018/978-1-7998-1313-2.ch012.

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Neutrosophic soft sets are an important tool to deal with the uncertainty-based real and scientific problems. In this chapter, the idea of neutrosophic soft (NS) digraph has been developed. These digraphs are mainly the graphical representation of neutrosophic soft sets. A graphical study of various set theoretic operations such as union, intersection, complement, cross product, etc. are shown here. Also, some properties of NS digraphs along with theoretical concepts are shown here. In the last part of the chapter, a decision-making problem has been solved with the help of NS digraphs. Also, a
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Conference papers on the topic "Intersection digraphs"

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Kostochka, Alexandr V., Xujun Liu, Roberto Machado, and Olgica Milenkovic. "Directed Intersection Representations and the Information Content of Digraphs." In 2019 IEEE International Symposium on Information Theory (ISIT). IEEE, 2019. http://dx.doi.org/10.1109/isit.2019.8849253.

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Markowski, Konrad Andrzej, and Krzysztof Hryniow. "Finding a set of (A, B, C, D) realizations for single-input multiple-output dynamic system: First approach using digraph-based method for solutions with intersection vertex." In 2017 22nd International Conference on Methods and Models in Automation and Robotics (MMAR). IEEE, 2017. http://dx.doi.org/10.1109/mmar.2017.8046802.

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