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A generalization of Talbot's theorem about King Arthur and the Knights of the Round Table

A theorem of Talbot, stated in terms of graph theory, is as follows: Let G be a cycle on n vertices raised to the power k > 1. If A is a family of intersecting independent r-subsets of the vertices of G where r > 1 and n > (k: + 1)r then [A] < (n-kr-1 / r-1).

Identiferoai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:494448
Date January 2008
CreatorsSpencer, Claire Lucy
PublisherUniversity of Reading
Source SetsEthos UK
Detected LanguageEnglish
TypeElectronic Thesis or Dissertation

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