Decompositions of Graphs into Fans and Single Edges
نویسندگان
چکیده
Given two graphs G and H, an H-decomposition of G is a partition of the edge set of G such that each part is either a single edge or forms a graph isomorphic to H. Let φ(n,H) be the smallest number φ such that any graph G of order n admits an H-decomposition with at most φ parts. Pikhurko and Sousa conjectured that φ(n,H) = ex(n,H) for χ(H) ≥ 3 and all sufficiently large n, where ex(n,H) denotes the maximum number of edges in a graph on n vertices not containing H as a subgraph. Their conjecture has been verified by
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عنوان ژورنال:
- Journal of Graph Theory
دوره 85 شماره
صفحات -
تاریخ انتشار 2017