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Generalized Ramsey theory VI: Ramsey numbers for small plexes

Published online by Cambridge University Press:  09 April 2009

Richard A. Duke  and
Frandk Harary
Richard A. Duke
Affiliation:
School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia 30332, U.S.A.
Frandk Harary
Affiliation:
School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia 30332, U.S.A.
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Abstract

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Generalized Ramsey theory for graphs was formulated and developed in the previous papers in this series. We extend the area here by introducing generalized Ramsey numbers for higher dimensional simplicial complexes. In particular we calculate explicitly the Ramsey numbers for several small “pure 2-complexes”, or more briefly plexes, in which each edge is contained in some 2–call.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 22 , Issue 4 , December 1976 , pp. 400 - 410
Copyright
Copyright © Australian Mathematical Society 1976

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