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Article citations

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M. O. Albertson and K. L. Gibbons, “Ho-momorphisms of 3-Chromatic Graphs,” Discrete Mathe-matics, Vol. 54, No. 2, 1985, pp. 127-132. doi:10.1016/0012-365X(85)90073-1

has been cited by the following article:

  • TITLE: The Maximum Size of an Edge Cut and Graph Homomorphisms

    AUTHORS: Suohai Fan, Hongjian Lai, Ju Zhou

    KEYWORDS: Maximum Edge Cuts, Graph Homomorphisms

    JOURNAL NAME: Applied Mathematics, Vol.2 No.10, October 14, 2011

    ABSTRACT: For a graph G, let b(G)=max﹛|D|: Dis an edge cut of G﹜ . For graphs G and H, a map Ψ: V(G)→V(H) is a graph homomorphism if for each e=uv∈E(G), Ψ(u)Ψ(v)∈E(H). In 1979, Erdös proved by probabilistic methods that for p ≥ 2 with if there is a graph homomorphism from G onto Kp then b(G)≥f(p)|E(G)| In this paper, we obtained the best possible lower bounds of b(G) for graphs G with a graph homomorphism onto a Kneser graph or a circulant graph and we characterized the graphs G reaching the lower bounds when G is an edge maximal graph with a graph homomorphism onto a complete graph, or onto an odd cycle.