On the existence of a cycle of length at least 7 in a (1, \le 2)-twin-free graph
نویسندگان
چکیده
We consider a simple, undirected graph G. The ball of a subset Y of vertices in G is the set of vertices in G at distance at most one from a vertex in Y . Assuming that the balls of all subsets of at most two vertices in G are distinct, we prove that G admits a cycle with length at least 7.
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عنوان ژورنال:
- Discussiones Mathematicae Graph Theory
دوره 30 شماره
صفحات -
تاریخ انتشار 2010