Enumerations of (K_4-e)-designs with small orders

Antoinette Tripodi; Giovanni Lo faro; Tao Feng; Yanxun Chang

arxiv: 1402.6747 · v1 · pith:NBKMJS5Mnew · submitted 2014-02-27 · 🧮 math.CO

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

Yanxun Chang , Tao Feng , Giovanni Lo faro , Antoinette Tripodi This is my paper

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keywords designsorderordersapplicationdesigndiscussenumerationsenumerative

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It is established that up to isomorphism,there are only one (K_4-e)-design of order 6, three (K_4-e)-designs of order 10 and two (K_4-e)-designs of order 11. As an application of our enumerative results, we discuss the fine triangle intersection problem for (K_4-e)-designs of orders v=6,10,11.

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

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