Recent trends and future directions in vertex-transitive graphs
نویسندگان
چکیده
منابع مشابه
Hamilton cycles and paths in vertex-transitive graphs - Current directions
In this article current directions in solving Lovász’s problem about the existence of Hamilton cycles and paths in connected vertex-transitive graphs are given. © 2009 Elsevier B.V. All rights reserved. 1. Historical motivation In 1969, Lovász [59] asked whether every finite connected vertex-transitive graph has a Hamilton path, that is, a simple path going through all vertices, thus tying toge...
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A core of a graph X is a vertex minimal subgraph to which X admits a homomorphism. Hahn and Tardif have shown that for vertex transitive graphs, the size of the core must divide the size of the graph. This motivates the following question: when can the vertex set of a vertex transitive graph be partitioned into sets each of which induce a copy of its core? We show that normal Cayley graphs and ...
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ژورنال
عنوان ژورنال: Ars Mathematica Contemporanea
سال: 2008
ISSN: 1855-3974,1855-3966
DOI: 10.26493/1855-3974.81.679