J4 ›› 2010, Vol. 45 ›› Issue (2): 5-9.

• Articles • Previous Articles     Next Articles

About the Construction of a Special Type of Weak Uniquely ColorableB-hypergraph and the Minimum Vertex Number

  

  1. School of Science, Linyi Normal University, Linyi 276005, Shandong, China
  • Received:2009-07-01 Online:2010-02-16 Published:2010-03-27

Abstract:

A weak uniquely colorable B-hypergraph is defined. A construction which is called Triangle Construction, of weak uniquely colorableB-hypergraphs is given. Moreover, the minimum vertex number of uniquely colorable B-hypergraphs constructed using Triangle Construction is discussed.

Key words: B-hypergraph; strict coloring; upper chromatic number; weak uniquely colorable mixed hypergraph; Triangle Construction

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