Transitive graphs in counterexamples to Karp's conjecture

Details Transitive graphs in counterexamples to Karp's conjecture Transitive graphs in counterexamples to Karp's conjecture

2005-12-17

arxiv.org/abs/math/0512421v1

Mathematics

Combinatorics

18 pages

Scientific paper

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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