Graph theory analysis shows optimal conditions for vertex-disjoint t-claws in specific graphs, suggesting important combinatorial properties.
Let (G) denote the minimum degree of a graph G.We prove that for t 4 and k 2, a graph G of order at least (t + 1)k + 11 6 t 2 with (G) k + t -1 contains k pairwise vertex-disjoint copies of K1,t.
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Shuya Chiba (2007) studied this question.
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