Packing and Decomposition of Graphs with Trees
نویسنده
چکیده
Let H be a tree on h ≥ 2 vertices. It is shown that if n is sufficiently large and G = (V,E) is an n-vertex graph with δ(G) ≥ bn/2c, then there are b|E|/(h − 1)c edge-disjoint subgraphs of G which are isomorphic to H. In particular, if h− 1 divides |E| then there is an H-decomposition of G. This result is best possible as there are infinitely many examples of trees on h vertices and graphs G with m(h− 1) edges, δ(G) ≥ bn/2c − 1, for which G has no H-decomposition.
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ورودعنوان ژورنال:
- J. Comb. Theory, Ser. B
دوره 78 شماره
صفحات -
تاریخ انتشار 2000