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.
AMIRA, AYMEN BEN; DAMMAK, JAMEL; and KADDOUR, HAMZA SI
"On a generalization of Kelly's combinatorial lemma,"
Turkish Journal of Mathematics: Vol. 38:
6, Article 1.
Available at: https://journals.tubitak.gov.tr/math/vol38/iss6/1