Large joints in graphs

Details Large joints in graphs Large joints in graphs

2010-01-13

arxiv.org/abs/1001.2073v1

Mathematics

Combinatorics

9 pages

Scientific paper

We show that if G is a graph of sufficiently large order n containing as many
r-cliques as the r-partite Turan graph of order n; then for some C>0 G has more
than Cn^(r-1) (r+1)-cliques sharing a common edge unless G is isomorphic to the
the r-partite Turan graph of order n. This structural result generalizes a
previous result that has been useful in extremal graph theory.

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