On Minimum Generalized Degree Distance Index of Cyclic Graphs

Author:

Khan Nadia1,Javaid M.2,Aslam M. K.2,Ashebo Mamo Abebe3ORCID

Affiliation:

1. Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan

2. Department of Mathematics, School of Science, University of Management and Technology, Lahore 54770, Pakistan

3. Department of Mathematics, Wollega University, Nekemte, Ethiopia

Abstract

Topological index (TI) is a mapping that associates a real number to the under study (molecular) graph which predicts its various physical and chemical properties. The generalized degree distance index is the latest developed TI having compatible significance among the list of distance-based TIs. In this paper, the minimum generalized degree distance of unicyclic, bicyclic, and four cyclic graphs is determined. Mainly, the associated extremal (minimal) graphs are also identified among all the aforesaid classes of graphs.

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Reference17 articles.

1. A Degree distance of a graph: a degree analogue of the Wiener index;A. A. Dobrynin;Journal of Chemical Information and Computer Sciences,1994

2. Selected properties of the Schultz molecular topological index;I. Gutman;Journal of Chemical Information and Computer Sciences,1994

3. Additively weighted Harary index of some composite graphs;Y. Alizadeh;Discrete Mathematics,2013

4. Minimum generalized degree distance of n-vertex tricyclic graphs;H. Asma;Journal of Inequalities and Applications,2013

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