Zhejiang Daxue xuebao. Lixue ban (Mar 2010)
自余弱弦图(On self-complementary weakly chordal graphs)
Abstract
The class of self-complementary (sc) weakly chordal graphs is studied, which is a generalization of self-complementary chordal graphs, lower and upper bounds for the number of two-pairs in sc weakly chordal graphs have been obtained. The recognition problem on the self-complementary weakly chordal graphs is discussed. In particular, an O(m3) time algorithm which determines whether a self-complementary graph is weakly chordal or not is discussed. Moreover, self-complementary weakly chordal graphs with at most 17 vertices is in catalogue.
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