Enumerations of (K4-e)-designs with small orders

Abstract

It is established that up to isomorphism,there are only one (K4-e)-design of order 6, three (K4-e)-designs of order 10 and two (K4-e)-designs of order 11. As an application of our enumerative results, we discuss the fine triangle intersection problem for (K4-e)-designs of orders v=6,10,11.

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