Results 11 to 20 of about 617,805 (269)
Small bipartite subgraph polytopes [PDF]
We compute a complete linear description of the bipartite subgraph polytope, for up to seven nodes, and a conjectured complete description for eight nodes.
Galli, L, Letchford, A N
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The Connectivity of a Bipartite Graph and Its Bipartite Complementary Graph [PDF]
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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On bipartite‐mixed graphs [PDF]
AbstractMixed graphs can be seen as digraphs that have both arcs and edges (or digons, that is, two opposite arcs). In this article, we consider the case where such graphs are bipartite. As main results, we show that in this context the Moore‐like bound is attained in the case of diameter , and that bipartite‐mixed graphs of diameter do not exist.
Dalfó Simó, Cristina +2 more
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Packing bipartite graphs with covers of complete bipartite graphs [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chalopin, Jérémie, Paulusma, Daniël
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Concatenating Bipartite Graphs
Let $x,y\in (0,1]$, and let $A,B,C$ be disjoint nonempty stable subsets of a graph $G$, where every vertex in $A$ has at least $x|B|$ neighbours in $B$, and every vertex in $B$ has at least $y|C|$ neighbours in $C$, and there are no edges between $A,C$.
Maria Chudnovsky +4 more
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Inverses of Bipartite Graphs [PDF]
9 pages, 2 ...
Yujun Yang, Dong Ye 0002
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Embedding into Bipartite Graphs [PDF]
The conjecture of Bollobás and Komlós, recently proved by Böttcher, Schacht, and Taraz [Math. Ann. 343(1), 175--205, 2009], implies that for any $γ>0$, every balanced bipartite graph on $2n$ vertices with bounded degree and sublinear bandwidth appears as a subgraph of any $2n$-vertex graph $G$ with minimum degree $(1+γ)n$, provided that $n$ is ...
Julia Böttcher +2 more
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Enumeration of Bipartite Graphs and Bipartite Blocks [PDF]
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
Andrew Gainer-Dewar, Ira M. Gessel
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Revisiting Volgenant-Jonker for Approximating Graph Edit Distance [PDF]
Although it is agreed that the Volgenant-Jonker (VJ) algorithm provides a fast way to approximate graph edit distance (GED), until now nobody has reported how the VJ algorithm can be tuned for this task.
Andy King +5 more
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Bipartite Domination in Graphs
The bipartite domination number of a graph is the minimum size of a dominating set that induces a bipartite subgraph. In this paper we initiate the study of this parameter, especially bounds involving the order, the ordinary domination number, and the chromatic number.
Bachstein, Anna +2 more
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