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Transitive graphs in counterexamples to Karp's conjecture

Alexander Engström
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Abstract

Karp conjectured that all nontrivial monotone graph properties are evasive. This was proved for n a prime power, and n=6, where n is the number of graph vertices, by Kahn, Saks, and Sturtevant. We give a complete description of which transitive graphs are contained in a possible counterexample when n=10.

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Alexander Engström. 2005-12-17. Transitive graphs in counterexamples to Karp's conjecture. https://arxiv.org/abs/math/0512421

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