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Star-factors of tournaments

Guantao Chen·Xiaoyun Lu·Douglas B. West
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Abstract

Let S_m 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 S_m. We prove that m lg m - m lg lg m <= f(m) <= 4m^2 - 6m for sufficiently large m.

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Guantao Chen, Xiaoyun Lu, Douglas B. West. 1998-07-03. Star-factors of tournaments. https://arxiv.org/abs/math/9807021

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