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Cliques in Graphs With Bounded Minimum Degree

Published online by Cambridge University Press:  26 January 2012

ALLAN LO
ALLAN LO*
Affiliation:
School of Mathematics, University of Birmingham, Birmingham, B15 2TT, UK (e-mail: s.a.lo@bham.ac.uk)
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Abstract

Let kr(n, δ) be the minimum number of r-cliques in graphs with n vertices and minimum degree at least δ. We evaluate kr(n, δ) for δ ≤ 4n/5 and some other cases. Moreover, we give a construction which we conjecture to give all extremal graphs (subject to certain conditions on n, δ and r).

Keywords

05C35
Type
Paper
Information
Combinatorics, Probability and Computing , Volume 21 , Issue 3 , May 2012 , pp. 457 - 482
Copyright
Copyright © Cambridge University Press 2012

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