Bipartite graphs with the maximum sum of squares of degrees

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Abstract

In this paper we determine all the bipartite graphs with the maximum sum of squares of degrees among the ones with a given number of vertices and edges.

Keywords

bipartite graphs sum of squares of degrees extremal graphs 

2000 MR Subject Classification

05C07 05C35 

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References

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Copyright information

© Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Department of Applied MathematicsNorthwestern Polytechnical UniversityXi’anChina
  2. 2.The State Key Laboratory for Manufacturing Systems EngineeringXi’an Jiaotong UniversityXi’anChina
  3. 3.AVICChengdu Aircraft Design and Research InstituteChengduChina

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