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On minimum (Kq; k) stable graphs
Jean-Luc Fouquet 1, Henri Thuillier ( ) 1, Jean-Marie Vanherpe 1, Adam Pawel Wojda 2
(2011)

A graph G is a (K_q; k) vertex stable graph (q >= 3) if it contains a clique K_q after deleting any subset of k vertices (k >= 0). We are interested by the (K_q; kappa(q)) vertex stable graphs of minimum size where kappa(q) is the maximum value for which for every nonnegative integer k < kappa(q) the only (Kq; k) vertex stable graph of minimum size is K_{q+k}.
1:  Laboratoire d'Informatique Fondamentale d'Orléans (LIFO)
Université d'Orléans : EA4022 – Ecole Nationale Supérieure d'Ingénieurs de Bourges
2:  AGH (AGH)
University of Science and Technology
Computer Science/Discrete Mathematics
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