An application of rough sets to graph theory

  • Authors:
  • Jinkun Chen;Jinjin Li

  • Affiliations:
  • Department of Mathematics and Information Science, Zhangzhou Normal University, Zhangzhou 363000, PR China;Department of Mathematics and Information Science, Zhangzhou Normal University, Zhangzhou 363000, PR China

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2012

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Abstract

This paper studies the testing bipartiteness of simple undirected graphs based on generalized rough sets. A new binary relation induced from a simple undirected graph is first defined. The concept of quasi-outer definable sets is then introduced, and some of its important properties are investigated. Finally, based on the quasi-outer definable set, a new algorithm is designed for testing bipartiteness of a simple undirected graph. Experiments show that the proposed algorithm is more efficient than the traditional one when the graph is represented by an adjacency matrix.