Perfectly contractile diamond-free graphs
نویسنده
چکیده
Irena Rusu Universit e d'Orl eans, L.I.F.O., B.P. 6759, 45067 Orl eans Cedex 2, France Abstract Everett et al. [2] conjectured that a graph with no odd hole and no stretcher is perfectly contractile, i.e. it can be reduced to a clique by successively contracting even pairs. We show that this conjecture is true for diamond-free graphs, and propose a polynomial algorithm to perform the successive contractions.
منابع مشابه
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عنوان ژورنال:
- Journal of Graph Theory
دوره 32 شماره
صفحات -
تاریخ انتشار 1999