The binding number of a graph and its cliques
نویسندگان
چکیده
We consider the binding numbers of Kr-free graphs, and improve upper bounds on the binding number which force a graph to contain a clique of order r. For the case r = 4, we provide a construction for K4-free graphs which have a larger binding number than previously known constructions. This leads to a counterexample to a conjecture by Caro regarding the neighborhoods of independent sets.
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عنوان ژورنال:
- Discrete Applied Mathematics
دوره 157 شماره
صفحات -
تاریخ انتشار 2009