Article ID Journal Published Year Pages File Type
4652332 Electronic Notes in Discrete Mathematics 2009 4 Pages PDF
Abstract

Let kr(n,d) be the minimum number of r-cliques in graphs with n vertices and minimum degree d. We evaluate kr(n,d) for n/2⩽d⩽4n/5 and some other cases. Moreover, we give a construction, which we conjecture to give all extremal graph (subject to certain conditions on n, d and r).

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics