Title of article
Resolving Topological Indices of Graphs
Author/Authors
Sooryanarayana ، Badekara Department of Mathematics - Dr. Ambedkar Institute of Technology , Chandrakala ، SOGENAHALLI BORAIAH Department of Mathematics - Nitte Meenakshi Institute of Technology , Roshini ، Gujar Ravichandra Department of Mathematics - Nagarjuna College of Engineering and Technology , Kumar ، MALLAPPA VISHU Department of Mathematics - Reva University
From page
201
To page
226
Abstract
Topological indices are graph invariants most suitable for underlined structures of chemical compounds. Most of the topological indices are defined on the well-known graph concepts such as degree of a vertex, distances, eccentricity of a vertex etc. In this paper, new type of degree of a vertex is defined with the aid of resolving property of the graph as the minimum cardinality of a resolving set containing that vertex. The mathematical properties of this newly defined degree is established with the help of standard graphs and an attempt to analyze its applicability in chemical compounds are carried by taking silicate structures.
Keywords
resolving set , topological index , Zagreb index
Journal title
Iranian Journal of Mathematical Chemistry
Journal title
Iranian Journal of Mathematical Chemistry
Record number
2735434
Link To Document