Journal of East China Normal University(Natural Sc ›› 2015, Vol. 2015 ›› Issue (1): 120-125.doi: 10.3969/j.issn.1000-5641.2015.01.014

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Harary index of unicyclic graphs with n vertices and k pendent vertices

 CAI  Gai-Xiang, YU  Gui-Dong, XING  Bao-Hua   

  • Received:2013-12-01 Online:2015-01-25 Published:2015-03-29

Abstract: The Harary index is defined as the sum of reciprocals of distances between all pairs of vertices of a connected graph. In this paper, the graph with the largest Harary index among all the unicyclic graphs with n vertices and k pendent vertices were investigated.

Key words: Harary index, unicyclic graph, pendent vertex

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