The sum of degrees in cliques

Details The sum of degrees in cliques The sum of degrees in cliques

2004-10-08

arxiv.org/abs/math/0410218v1

Mathematics

Combinatorics

10 pages

Scientific paper

We investigate lower bounds on the average degree in r-cliques in graphs of
order n and size greater than t(r,n), where t(r,n) is the size of the Turan
graph on n vertices and r color classes. Continuing earlier research of Edwards
and Faudree, we completely prove a conjecture of Bollobas and Erdoes from 1975.

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