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Coverings of Bipartite Graphs

Canadian Journal of Mathematics, 1958
For the purpose of analysing bipartite graphs (hereinafter called simply graphs) the concept of an exterior covering is introduced. In terms of this concept it is possible in a natural way to decompose any graph into two parts, an inadmissible part and a core.
Dulmage, A. L., Mendelsohn, N. S.
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Bipartite graphs as polynomials and polynomials as bipartite graphs

Journal of Algebra and Its Applications, 2020
The aim of this paper is to show that any finite undirected bipartite graph can be considered as a polynomial [Formula: see text], and any directed finite bipartite graph can be considered as a polynomial [Formula: see text], and vise verse. We also show that the multiplication in the semirings [Formula: see text], [Formula: see text] corresponds to an
Grinblat, Andrey, Lopatkin, Viktor
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BIPARTITE PERMUTATION GRAPHS ARE RECONSTRUCTIBLE

Discrete Mathematics, Algorithms and Applications, 2010
The graph reconstruction conjecture is a long-standing open problem in graph theory. The conjecture has been verified for all graphs with at most 11 vertices. Further, the conjecture has been verified for regular graphs, trees, disconnected graphs, unit interval graphs, separable graphs with no pendant vertex, outer-planar graphs, and unicyclic graphs.
Kiyomi, Masashi   +2 more
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Constructing Unstable Graphs from Bipartite Graphs

Bulletin of the Malaysian Mathematical Sciences Society
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Haiyan Jiang, Junyang Zhang
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Packing two bipartite graphs into a complete bipartite graph

Journal of Graph Theory, 1997
A bipartite graph \(G\) admits an \((a,b)\)-bipartition if \(G\) has a bipartition \((X,Y)\) such that \(|X|=a\) and \(|Y|=b\). Two bipartite graphs \(G\) and \(H\) are compatible if, for some integers \(a\) and \(b\), both \(G\) and \(H\) admit an \((a,b)\)-bipartition. In the paper it is proved that any two compatible \(C_4\)-free bipartite graphs of
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Bipartite Graph

2013
Marie Lisandra Zepeda-Mendoza   +1 more
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BIPARTITE GRAPH

2001
Saul I. Gass, Carl M. Harris
openaire   +1 more source

Graph Coloring on Bipartite Graphs

International Journal of Mathematical, Engineering, Biological and Applied Computing, 2022
Balakrishnan Sennaiyan   +1 more
openaire   +1 more source

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