Relevant bibliographies by topics / Weak total domination

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Academic literature on the topic 'Weak total domination'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Weak total domination"

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Cabrera Martínez, Abel, Luis P. Montejano, and Juan A. Rodríguez-Velázquez. "Total Weak Roman Domination in Graphs." Symmetry 11, no. 6 (2019): 831. http://dx.doi.org/10.3390/sym11060831.

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Given a graph G = ( V , E ) , a function f : V → { 0 , 1 , 2 , ⋯ } is said to be a total dominating function if ∑ u ∈ N ( v ) f ( u ) > 0 for every v ∈ V , where N ( v ) denotes the open neighbourhood of v. Let V i = { x ∈ V : f ( x ) = i } . We say that a function f : V → { 0 , 1 , 2 } is a total weak Roman dominating function if f is a total dominating function and for every vertex v ∈ V 0 there exists u ∈ N ( v ) ∩ ( V 1 ∪ V 2 ) such that the function f ′ , defined by f ′ ( v ) = 1 , f ′ ( u ) = f ( u ) - 1 and f ′ ( x ) = f ( x ) whenever x ∈ V ∖ { u , v } , is a total dominating functi
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Golpek, Hande Tuncel, and Aysun Aytac. "Strong total domination and weak total domination in Mycielski's graphs." Malaya Journal of Matematik 8, no. 3 (2020): 1681–86. http://dx.doi.org/10.26637/mjm0804/0060.

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Shao, Zehui, Seyed Sheikholeslamib, Bo Wang, Pu Wu, and Xiaosong Zhang. "Trees with equal total domination and 2-rainbow domination numbers." Filomat 32, no. 2 (2018): 599–607. http://dx.doi.org/10.2298/fil1802599s.

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A 2-rainbow dominating function (2RDF) of a graph G is a function f : V(G) ? P({1,2}) such that for each v ? V(G) with f (v) = ? we have Uu?N(v) f (u) = {1,2}. For a 2RDF f of a graph G, the weight w(f) of f is defined as w(f)=?v?V(G)?f(v)?. The minimum weight over all 2RDFs of G is called the 2-rainbow domination number of G, which is denoted by ?r2(G). A subset S of vertices of a graph G without isolated vertices, is a total dominating set of G if every vertex in V(G) has a neighbor in S. The total domination number ?t(G) is the minimum cardinality of a total dominating set of G. Chellali, H
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Jayalakshmi, P. J., C. V. R. Harinarayanan, and R.Muthuraj. "Equitable Regular Total Semi-µ Strong (Weak) Edge Domination in Intuitionistic Fuzzy Graph." International Journal of Fuzzy Mathematical Archive 14, no. 01 (2017): 81–90. http://dx.doi.org/10.22457/ijfma.v14n1a10.

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In this paper, the new kind of parameter Regular total semi - µ strong (weak) edge domination number in an intuitionistic fuzzy graph is defined and established the parametric conditions. Another new kind of parameter an equitable regular total semi - µ strong (weak) edge domination number is defined and established the parametric conditions. The properties of Regular total semi - µ strong (weak) edge domination number and an equitable regular total semi - µ strong (weak) edge domination number domination number are discussed.
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PRADHAN, D. "COMPLEXITY OF CERTAIN FUNCTIONAL VARIANTS OF TOTAL DOMINATION IN CHORDAL BIPARTITE GRAPHS." Discrete Mathematics, Algorithms and Applications 04, no. 03 (2012): 1250045. http://dx.doi.org/10.1142/s1793830912500450.

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In this paper, we consider minimum total domination problem along with two of its variations namely, minimum signed total domination problem and minimum minus total domination problem for chordal bipartite graphs. In the minimum total domination problem, the objective is to find a smallest size subset TD ⊆ V of a given graph G = (V, E) such that |TD∩NG(v)| ≥ 1 for every v ∈ V. In the minimum signed (minus) total domination problem for a graph G = (V, E), it is required to find a function f : V → {-1, 1} ({-1, 0, 1}) such that f(NG(v)) = ∑u∈NG(v)f(u) ≥ 1 for each v ∈ V, and the cost f(V) = ∑v∈V
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Akhbari, M. H., and N. Jafari Rad. "Bounds on weak and strong total domination in graphs." Electronic Journal of Graph Theory and Applications 4, no. 1 (2016): 111–18. http://dx.doi.org/10.5614/ejgta.2016.4.1.10.

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Jayalakshmi, P. J., Dr C. V. R. Harinarayanan, and Dr P. Muthuraj. "Total Semi - µ Strong (Weak) Domination in Intuitionistic Fuzzy Graph." IOSR Journal of Mathematics 12, no. 05 (2016): 37–43. http://dx.doi.org/10.9790/5728-1205053743.

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Lee, Chuan-Min. "The complexity of total k-domatic partition and total R-domination on graphs with weak elimination orderings." International Journal of Computer Mathematics: Computer Systems Theory 5, no. 3 (2020): 134–47. http://dx.doi.org/10.1080/23799927.2020.1771427.

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Senchenko, Mykola. "The program of the world oligarchy." Вісник Книжкової палати, no. 3 (March 23, 2022): 3–15. http://dx.doi.org/10.36273/2076-9555.2022.3(308).3-15.

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Analysis of facts from various fields of human activity (economics, finance and banking, military affairs, etc.) convincingly shows that in the modern world, a world oligarchy has formed, which seeks to establish global domination. In order to understand where society is heading, it is first necessary to find out whether the world oligarchy has a certain program of action, and if so, what it is.
 The article presents the main elements of the program of the world oligarchy, its features and possibilities of achievement in the conditions of latent organizational war. The stages of realizati
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Tomislav, Malvić, and Majstorović Bušić Ana. "Unconventional hydrocarbon resources of the Bjelovar Subdepression (Pannonian Basin System) in Croatia: an overview." Geologica Carpathica 63, no. 6 (2012): 481–89. http://dx.doi.org/10.2478/v10096-012-0037-z.

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Abstract The Croatian part of the Pannonian Basin System includes several Miocene chronostratigraphic (sub)stages mostly characterized by weak permeable clastic sediments. They are often also mature source rocks at depths of more than 2500 m, from Late Badenian to Early Pannonian ages, represented by marls and calcitic marls, and kerogene Types II and III. The other types of weakly permeable sediments are tight sandstone mostly of Badenian age. Those two lithotypes are potential unconventional reservoirs described in the Bjelovar Subdepression, regarding their age, geological evolution, lithol
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Conference papers on the topic "Weak total domination"

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Hodges, S. E., M. Munroe, D. Adkison, W. Gadomski, and M. G. Raymer. "Turn-on transient statistics and dynamics in a multimode, short-cavity dye laser." In OSA Annual Meeting. Optica Publishing Group, 1992. http://dx.doi.org/10.1364/oam.1992.thrr6.

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The statistics of turn-on delay times for a longitudinal mode and the total intensity from a multimode, standing-wave, short-cavity dye laser are measured and compared with numerical simulations of a multimode theory of laser dynamics. The effects of coherent-wave mixing, the number of modes included in the simulation, and the frequency of the mode relative to the emission maximum on the delay-time statistics at various stages of the turn-on are discussed. Differences between the measurements and the theory for the average and standard deviation of the turn-on time are due to transitory modes
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Dardalis, Dimitrios, Matthew Hall, Sebastian Riley, Amiyo Basu, and Ron Matthews. "10 % Fuel Economy Benefit at Part Load and up to 33 % at Idle for a Diesel Engine via Reducing Friction. Testing the Rotating Liner Engine and an Identical Baseline Under Load." In WCX SAE World Congress Experience. SAE International, 2025. https://doi.org/10.4271/2025-01-8390.

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<div class="section abstract"><div class="htmlview paragraph">The Rotating Liner Engine (RLE) is a design concept where the cylinder liner of a heavy-duty Diesel engine rotates at about 2-4 m/s surface speed to eliminate the piston ring and skirt boundary friction near the top and bottom dead center. Two single cylinder engines are prepared using the Cummins 4BT 3.9 platform, one is RLE, the other is baseline (BSL), i.e. conventional. In 2022, we published the test results of the RLE under load, but we lacked detail test data for the baseline. In this new set of experiments, we com
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