Chinese Quarterly Journal of Mathematics ›› 2010, Vol. 25 ›› Issue (4): 565-571.

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On the Uniformly Balancedness of Graphs

  

  1. Department of Applied Mathematics, University of Science and Technology of Suzhou
  • Received:2006-04-24 Online:2010-12-30 Published:2023-05-18
  • About author:WEN Yi-hui(1953-), female, native of Taishan, Guangdong, an associate professor of University of Science and Technology of Suzhou, engages in graph theory and combinatorial designs, ect.
  • Supported by:
     Supported by the Natural Science Foundation of Shanxi Province(2008011010); Supported by the Scientific Research and Key Subject Foundation of University of Science and Technology of Suzhou;

Abstract: In this paper, the definition of absolutely balanced and uniformly balanced for graphs are introduced, the difference between balance graphs are pointed out. Using (p,p+1)-graph as an example, we explained the existence of this difference and obtained some new results.

Key words: balance graph, absolutely balance, uniformly balance, balance index set

CLC Number: