International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 1988 / Article

Open Access

Volume 11 |Article ID 798179 | https://doi.org/10.1155/S0161171288000146

Robert D. Girse, Richard A. Gillman, "Homomorphisms and related contractions of graphs", International Journal of Mathematics and Mathematical Sciences, vol. 11, Article ID 798179, 6 pages, 1988. https://doi.org/10.1155/S0161171288000146

Homomorphisms and related contractions of graphs

Received06 Aug 1985
Revised16 Jul 1986

Abstract

For every homomorphism ϕ of a graph G there exists a contraction θϕ on G¯, the complement of G. Here we study the graph equation ϕ(G)=θϕ(G¯). In the course of our work we show that Hadwiger's Conjecture is true for every self-complementary graph.

Copyright © 1988 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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