Disproving the normal graph conjecture

Prelegent(ci)

Lucas Pastor

Termin

8 lutego 2018 12:15

Pokój

p. 5870

Seminarium

Seminarium "Algorytmika"

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A graph G is said to be normal if there exists two coverings, C and S of its vertex set such that, every member of C induces a clique, every member of S induces a stable set, and every clique of C intersects every stable set of S. De Simone and Körner conjectured in 1999 that a graph G is normal if G does not contain C_5, C_7 and the complement of C_7 as an induced subgraph. By using probabilistic methods we disprove this conjecture.

This is joint-work with Ararat Harutyunyan and Stéphan Thomassé.

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