Wiener Index, Hyper-Wiener Index, Harary Index and Hamiltonicity Properties of graphs

  • Gui-dong YuEmail author
  • Li-fang Ren
  • Xing-xing Li


In this paper, in terms of Wiener index, hyper-Wiener index and Harary index, we first give some sufficient conditions for a nearly balance bipartite graph with given minimum degree to be traceable. Secondly, we establish some conditions for a k-connected graph to be Hamilton-connected and traceable for every vertex, respectively.


Wiener index Hyper-Wiener index Harary index Traceable Hamilton-connected Traceable for every vertex 

MR Subject Classification

05C50 15A18 


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Copyright information

© Editorial Committee of Applied Mathematics 2019

Authors and Affiliations

  1. 1.School of Mathmatics and Computation SciencesAnqing Normal UniversityAnqingChina
  2. 2.Basic DepartmentHefei Preschool Education CollegeHefeiChina

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