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On a generalization of Kelly's combinatorial lemma
Journal article   Peer reviewed

On a generalization of Kelly's combinatorial lemma

Aymen Ben Amira, Jamel Dammak and Hamza Si Kaddour
Turkish journal of mathematics, Vol.38(6), pp.949-964
01/01/2014
DOI: https://doi.org/10.3906/mat-1302-13

Abstract

Mathematics Physical Sciences Science & Technology
Kelly's combinatorial lemma is a basic tool in the study of Ulam's reconstruction conjecture. A generalization in terms of a family of t-elements subsets of a v-element set was given by Pouzet. We consider a version of this generalization modulo a prime p. We give illustrations to graphs and tournaments.

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