Star-factors of tournaments
Guantao Chen, Xiaoyun Lu, Douglas B. West
Abstract
Let Sm denote the m-vertex simple digraph formed by m-1 edges with a common tail. Let f(m) denote the minimum n such that every n-vertex tournament has a spanning subgraph consisting of n/m disjoint copies of Sm. We prove that m lg m - m lg lg m <= f(m) <= 4m2 - 6m for sufficiently large m.
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