Star-factors of tournaments

  • Authors:
  • Guantao Chen;Xiaoyun Lu;Douglas B. West

  • Affiliations:
  • Georgia State University, Atlanta, GA 30303;Chinese University of Hong Kong, Hong Kong;University of Illinois, Urbana, IL 61801-2975

  • Venue:
  • Journal of Graph Theory
  • Year:
  • 1998

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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. © 1998 John Wiley & Sons, Inc. J. Graph Theory 28: 141–145, 1998