Geodesic
Vertex-disjoint stars in graphs
Discussiones Mathematicae. Graph Theory, Tome 21 (2001) no. 2, pp. 179-185

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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(t²), then the graph contains k vertex-disjoint copies of a star K_1,t. The condition on the minimum degree is sharp, and there is an example showing that the term O(t²) for the number of uncovered vertices is necessary in a sense.
Keywords: stars, vertex-disjoint copies, minimum degree 
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Ota, Katsuhiro. Vertex-disjoint stars in graphs. Discussiones Mathematicae. Graph Theory, Tome 21 (2001) no. 2, pp. 179-185. http://geodesic.mathdoc.fr/item/DMGT_2001_21_2_a3/