Independence and coloring properties of direct products of some vertex-transitive graphs |
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| Authors: | Mario Valencia-Pabon |
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| Institution: | a Departamento de Matemáticas, Universidad de los Andes, Cra. 1 No. 18A-70, Bogotá, Colombia
b Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh PA 15213-3890, USA |
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| Abstract: | Let α(G) and χ(G) denote the independence number and chromatic number of a graph G, respectively. Let G×H be the direct product graph of graphs G and H. We show that if G and H are circular graphs, Kneser graphs, or powers of cycles, then α(G×H)=max{α(G)|V(H)|,α(H)|V(G)|} and χ(G×H)=min{χ(G),χ(H)}. |
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| Keywords: | 05C15 05C69 |
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