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Chromatic polynomials of complementary (n,k)-clique pairs
Chromatic polynomials complementary (n,k)-clique pairs
2011/2/22
We introduce a class of pairs of graphs consisting of two cliques joined by an arbitrary number of edges. The members of a pair have the property that the clique-bridging edge-set of one graph is the ...
On Multivariate Chromatic Polynomials of Hypergraphs and Hyperedge Elimination
Hypergraphs Colorings Tutte Polynomials
2011/2/21
In this paper, we consider multivariate hyperedge elimination polynomials and multivariate chromatic polynomials for hypergraphs. The rst set of polynomials is de ned in terms of a deletion-contracti...
On Chromatic Polynomials of Some Kinds of Graphs
Chromatic polynomial wheels fans component
2007/12/11
In this paper, a new method is used to calculate thechromatic polynomials of graphs. The chromatic polynomials of thecomplements of a wheel and a fan are determined. Furthermore, theadjoint polynomial...