Mathematics – Combinatorics
Scientific paper
2004-05-07
Mathematics
Combinatorics
16 pages, accepted in JCTB
Scientific paper
An r-book of size q is a union of q (r+1)-cliques sharing a common r-clique.
We find exactly the Ramsey number of a p-clique versus r-books of sufficiently
large size. Furthermore, we find asymptotically the Ramsey number of any fixed
p-chromatic graph versus r-books of sufficiently large size. The key element in
our proofs is Szemeredi's Regularity Lemma.
Nikiforov Vladimir
Rousseau Cecil
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