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2006

On almost self-complementary graphs

13 years 11 months ago
On almost self-complementary graphs
A graph is called almost self-complementary if it is isomorphic to one of its almost complements Xc - I, where Xc denotes the complement of X and I a perfect matching (1-factor) in Xc. Almost self-complementary circulant graphs were first studied by Dobson and Sajna in 2004. In this paper we investigate some of the properties and constructions of general almost self-complementary graphs. In particular, we give necessary and sufficient conditions on the order of an almost self-complementary regular graph, and construct infinite families of almost self-complementary regular graphs, almost selfcomplementary vertex-transitive graphs, and non-cyclically almost self-complementary circulant graphs.
Primoz Potocnik, Mateja Sajna
Added 11 Dec 2010
Updated 11 Dec 2010
Type Journal
Year 2006
Where DM
Authors Primoz Potocnik, Mateja Sajna
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