Publication details

Mimimum degree and the number of chords

Authors

KARA J KRÁĽ Daniel

Year of publication 2003
Type Article in Periodical
Magazine / Source ARS COMBINATORIA
Citation
Description We address the following problem: What minimum degree forces a graph on n vertices to have a cycle with at least c chords? We prove that any graph with minimum degree delta has a cycle with at least (delta+1)(delta-2)/2 chords. We investigate asymptotic behaviour for large n and c and we consider the special case where n = c.

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