Large generalized books are p-good

Mathematics – Combinatorics

Scientific paper

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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.

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