Results 31 to 40 of about 64,086 (307)
Commuting decomposition of Kn1,n2,...,nk through realization of the product A(G)A(GPk )
Special Matrices, 2018 In this paper, we introduce the notion of perfect matching property for a k-partition of vertex set of given graph. We consider nontrivial graphs G and GPk , the k-complement of graph G with respect to a kpartition of V(G), to prove that A(G)A(GPk ) is ...
Bhat K. Arathi, Sudhakara G.
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Random Structures & Algorithms, 2018 We investigate the asymptotic structure of a random perfect graph Pn sampled uniformly from the set of perfect graphs on vertex set . Our approach is based on the result of Prömel and Steger that almost all perfect graphs are generalised split graphs, together with a method to generate such graphs almost uniformly.
McDiarmid, C, Yolov, N
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Fractional matching preclusion for butterfly derived networks
Theory and Applications of Graphs, 2019 The matching preclusion number of a graph is the minimum number of edges whose deletion results in a graph that has neither perfect matchings nor almost perfect matchings.
Xia Wang +4 more
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Perfectness of clustered graphs [PDF]
Discrete Optimization, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Flavia Bonomo +3 more
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On kernels in strongly game-perfect digraphs and a characterisation of weakly game-perfect digraphs
AKCE International Journal of Graphs and Combinatorics, 2020 We prove that the game-perfect digraphs defined by Andres (2012) with regard to a digraph version of the maker-breaker graph colouring game introduced by Bodlaender (1991) always have a kernel.
Stephan Dominique Andres
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On the number of perfect matchings in random polygonal chains
Open Mathematics, 2023 Let GG be a graph. A perfect matching of GG is a regular spanning subgraph of degree one. Enumeration of perfect matchings of a (molecule) graph is interest in chemistry, physics, and mathematics.
Wei Shouliu +3 more
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Bounds on perfect k-domination in trees: an algorithmic approach [PDF]
Opuscula Mathematica, 2012 Let \(k\) be a positive integer and \(G = (V;E)\) be a graph. A vertex subset \(D\) of a graph \(G\) is called a perfect \(k\)-dominating set of \(G\) if every vertex \(v\) of \(G\) not in \(D\) is adjacent to exactly \(k\) vertices of \(D\). The minimum
B. Chaluvaraju, K. A. Vidya
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Formation of Non-Perfect Maze Using Prim’s Algorithm
JTAM (Jurnal Teori dan Aplikasi Matematika), 2023 Maze is a place that has many paths with tortuous paths that are misleading and full of dead ends and can be viewed as a grid graph. A non-perfect maze is a maze that has a cycle.
Mahyus Ihsan +4 more
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Eigenvalues of the perfect matching derangement graph
, 2023 The perfect matching derangement graph M2n is the graph whose vertex set consists of the perfect matchings of the complete graph K2n such that two vertices (perfect matchings) are adjacent if and only if they have no edges in common, i.e.
Koh, Samuel Zhi Kang
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Formalizing Randomized Matching Algorithms [PDF]
Logical Methods in Computer Science, 2012 Using Je\v{r}\'abek 's framework for probabilistic reasoning, we formalize the correctness of two fundamental RNC^2 algorithms for bipartite perfect matching within the theory VPV for polytime reasoning.
Dai Tri Man Le, Stephen A. Cook
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