In this paper some extremal properties of 3-colorings of bipartite complete graphs in the class of all bipartite p-threshold graphs that are uniquely ...
In this paper some extremal properties of 3-colorings of bipartite complete graphs in the class of all bipartite p-threshold graphs that are uniquely.
In this paper some extremal properties of 3-colorings of bipartite complete graphs in the class of all bipartite p-threshold graphs that are uniquely ...
Aug 12, 2023 · The aim of this article is to determine the P 3 -chromatic number of different well-known classes of bipartite graphs.
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Nov 20, 2011 · A graph G is k-edge colourable if and only if the edge set of G can be decomposed into (at most) k matchings.
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Our proof combines a conductance argument with combinatorial enumeration methods. Key words: Mixing time, 3-colouring, Potts model, conductance, Glauber ...
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Apr 11, 2024 · A random bipartite graph G(n,n,p) is constructed by taking two sets of nodes L,R, each of size n. For any u∈L and v∈R, the probability that ...
May 30, 2014 · Evidently, graph-coloring is hard in general. But is it easy to produce hard instances of a desired size?
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The easiest way to prove that a graph G is not k-mixing is to exhibit a frozen k-coloring of G, i.e. a coloring in where every vertex is adjacent to vertices of ...
Teo and Koh showed that K-1(p, q) is chromatically unique (in short χ-unique) for all p, q such that 3 ⩽ p ⩽ q. ... On 3-coloring of bipartite p-threshold graphs.