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Bipartite graphs with the maximum sum of squares of degrees
Authors:Sheng-gui Zhang  Chun-cao Zhou
Institution:1. Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an, 710072, China
2. The State Key Laboratory for Manufacturing Systems Engineering, Xi’an Jiaotong University, Xi’an, 710049, China
3. AVIC, Chengdu Aircraft Design and Research Institute, Chengdu, 610041, China
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
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