Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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The Spectral Radii of Graphs with Prescribed Degree Sequence

  • Li, Jianxi (School of Mathematics and Statistics, Minnan Normal University, Center for Discrete Mathematics, Fuzhou University) ;
  • Shiu, Wai Chee (Department of Mathematics, Hong Kong Baptist University)
  • Received : 2012.07.03
  • Accepted : 2013.03.14
  • Published : 2014.09.23
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Abstract

In this paper, we first present the properties of the graph which maximize the spectral radius among all graphs with prescribed degree sequence. Using these results, we provide a somewhat simpler method to determine the unicyclic graph with maximum spectral radius among all unicyclic graphs with a given degree sequence. Moreover, we determine the bicyclic graph which has maximum spectral radius among all bicyclic graphs with a given degree sequence.

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References

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