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math.COMay 10, 2004
15
citations (OpenAlex)
authors
  • Vladimir Nikiforov
  • Cecil Rousseau
institutions
  • University of Memphis
arXiv abstractPDF
paper

A note on Ramsey Numbers for Books

arXiv:math/0405175

Abstract

A book of size N is the union of N triangles sharing a common edge. We show that the Ramsey number of a book of size N vs. a book of size M equals 2N+3 for all N>(10^6)M. Our proof is based on counting.

9 pages, submitted to Journal of Graph Theory in Aug 2002

Cited by in corpus (5)

  • Large book--cycle Ramsey numbers
  • Book Ramsey numbers I
  • Ramsey Goodness and Beyond
  • A note on a problem of Erdos and Rothschild
  • Ramsey numbers of large books
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