Results 61 to 70 of about 1,011,259 (278)
The Median Problem on k-Partite Graphs
Discussiones Mathematicae Graph Theory, 2015 In a connected graph G, the status of a vertex is the sum of the distances of that vertex to each of the other vertices in G. The subgraph induced by the vertices of minimum (maximum) status in G is called the median (anti-median) of G.
Pravas Karuvachery, Vijayakumar Ambat
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Homomorphisms of binary Cayley graphs
, 2015 A binary Cayley graph is a Cayley graph based on a binary group. In 1982, Payan proved that any non-bipartite binary Cayley graph must contain a generalized Mycielski graph of an odd-cycle, implying that such a graph cannot have chromatic number 3.
Beaudou, Laurent +2 more
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Enumeration of Bipartite Graphs and Bipartite Blocks [PDF]
The Electronic Journal of Combinatorics, 2014 We use the theory of combinatorial species to count unlabelled bipartite graphs and bipartite blocks (nonseparable or 2-connected graphs). We start with bicolored graphs, which are bipartite graphs that are properly colored in two colors. The two-element group $\mathfrak{S}_2$ acts on these graphs by switching the colors, and connected bipartite graphs
Gainer-Dewar, Andrew, Gessel, Ira M.
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Antifactors of regular bipartite graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 Let $G=(X,Y;E)$ be a bipartite graph, where $X$ and $Y$ are color classes and $E$ is the set of edges of $G$. Lov\'asz and Plummer \cite{LoPl86} asked whether one can decide in polynomial time that a given bipartite graph $G=(X,Y; E)$ admits a 1-anti ...
Hongliang Lu, Wei Wang, Juan Yan
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Transversals and Bipancyclicity in Bipartite Graph Families [PDF]
Electronic Journal of Combinatorics, 2020 A bipartite graph is called bipancyclic if it contains cycles of every even length from four up to the number of vertices in the graph. A theorem of Schmeichel and Mitchem states that for $n \geqslant 4$, every balanced bipartite graph on $2n$ vertices ...
Peter Bradshaw
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Journal of Combinatorial Theory, Series B, 2012 27 pages, small revisions from previous version, this version appears in Journal of Combinatorial Theory Series ...
Engbers, John, Galvin, David
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A Note on the Permanental Roots of Bipartite Graphs
Discussiones Mathematicae Graph Theory, 2014 It is well-known that any graph has all real eigenvalues and a graph is bipartite if and only if its spectrum is symmetric with respect to the origin.
Zhang Heping, Liu Shunyi, Li Wei
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The Connectivity of a Bipartite Graph and Its Bipartite Complementary Graph [PDF]
Parallel Processing Letters, 2020 In 1956, Nordhaus and Gaddum gave lower and upper bounds on the sum and the product of the chromatic number of a graph and its complement, in terms of the order of the graph. Since then, any bound on the sum and/or the product of an invariant in a graph [Formula: see text] and the same invariant in the complement [Formula: see text] of [Formula: see ...
Yingzhi Tian, Huaping Ma, Liyun Wu
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Semantic Web Service Discovery Based on Clustering and Bipartite Graph Matching [PDF]
Jisuanji gongcheng, 2016 In order to efficiently and accurately locate semantic Web service,a new semantic Web service discovery method is proposed based on clustering and bipartite graph matching.In this method,services are clustered according to the service description ...
LIU Yisong,ZHU Dan
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FLEET: Butterfly Estimation from a Bipartite Graph Stream
, 2019 We consider space-efficient single-pass estimation of the number of butterflies, a fundamental bipartite graph motif, from a massive bipartite graph stream where each edge represents a connection between entities in two different partitions. We present a
Bar-Yossef R. Kumar Z. +10 more
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