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Further results on enumeration of perfect matchings of Cartesian product graphs
Counting perfect matchings is an interesting and challenging combinatorial task. It has important applications in statistical physics and chemistry. As the general problem is #P-complete, it is usually tackled by randomized heuristics and approximation ...
Wu Tingzeng, Zeng Xiaolin
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Disjoint triangles and quadrilaterals in a graph
Wang Hong
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BINDING NUMBERS AND FRACTIONAL (g, f, n)-CRITICAL GRAPHS
Sizhong Zhou, Zhiren Sun
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Rectangular table negotiation problem revisited
Froncek Dalibor, Kubesa Michael
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Total Strong Litact Domination in Graphs
, 2021In this paper, a new domination number called total strong litact domination number is defined on a graph and values of the defined variant to standard graphs, general graphs, trees etc., are acquired and endeavoured to raise a association among the ...
R. Avvari, Vani Manda, Ramprasad Chegu
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On the Pendant Number of Some New Graph Classes
Research & Reviews: Discrete Mathematical Structures, 2019A decomposition of a graph is a collection of its edge disjoint sub-graphs such that their union is . If all the sub-graphs in the decomposition are paths, then it is a path decomposition. In this paper, we discuss the pendant number, the minimum number
J. Sebastian +3 more
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On the fractional matching number of the join and corona of graphs
International Mathematical Forum, 2019A fractional matching of a graph G = (V,E) is a function f from E to the interval [0, 1] such that ∑ e∈Γ(v) f(e) ≤ 1 for every v ∈ V , where Γ(v) is the set of all edges incident to v.
Arcie S. Nogra, M. P. Baldado
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Permutations avoiding connected graphs
Contributions Discret. Math., 2017There is a permutation of the vertices of a tree for which no proper subtree on at least two vertices is mapped to a subtree, if and only if twice the number of its endpoints is less than or equal to the number of points of the tree; Theorem 4.1.
N. Sauer, I. Zaguia
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