Title of article :
Extremal Unicyclic and Bicyclic Graphs with Respect to Harary Index
Author/Authors :
Xu, Kexiang College of Science - Nanjing University of Aeronautics & Astronautics, Nanjing, PR China , Das, Kinkar Ch Department of Mathematics - Sungkyunkwan University, Republic of Korea
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, we determined the extremal (maximal and minimal) unicyclic and bicyclic graphs with respect to Harary index.
Keywords :
Unicyclic graph , bicyclic graph , Harary index , diameter
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society