Bipartite graphs without a skew star

  • Authors:
  • Vadim V. Lozin

  • Affiliations:
  • RUTCOR, Rutgers University, 640 Bartholomew Road, Piscataway NJ

  • Venue:
  • Discrete Mathematics
  • Year:
  • 2002

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Abstract

A skew star is a tree with exactly three vertices of degree one being at distance 1, 2, 3 from the only vertex of degree three. In the present paper, we propose a structural characterization for the class of bipartite graphs containing no skew star as an induced subgraph and discuss some applications of the obtained result.