Vertex-Disjoint Stars in Graphs
نویسنده
چکیده
In this paper, we give a sufficient condition for a graph to contain vertex-disjoint stars of a given size. It is proved that if the minimum degree of the graph is at least k + t − 1 and the order is at least (t + 1)k + O(t), then the graph contains k vertex-disjoint copies of a star K1,t. The condition on the minimum degree is sharp, and there is an example showing that the term O(t) for the number of uncovered vertices is necessary in a sense.
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عنوان ژورنال:
- Discussiones Mathematicae Graph Theory
دوره 21 شماره
صفحات -
تاریخ انتشار 2001