Mathematical Sciences: Faculty Publications

Multiply Chorded Cycles

Document Type

Article

Publication Date

2014

Publication Title

SIAM Journal on Discrete Math

DOI

10.1137/12089569X

ISSN

1095-7146

Abstract

A classical result of Hajnal and Szemerédi, when translated to a complementary form, states that with sufficient minimum degree, a graph will contain disjoint large cliques. We conjecture a generalization of this result from cliques to cycles with many chords and prove this conjecture in several cases.

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