Sombor Index in Neutrosophic Graphs

S.N. Gambhire; Masoud Ghods; Zahra Rostami

Authors

S.N. Gambhire Assistant Professor, Bharati Vidyapeeth (Deemed to Be) University, Abhijit Kadam Institute of Management and Social Sciences, Solapur,
Masoud Ghods Department of Mathematics, Semnan University, Semnan 35131-19111, Iran,
Zahra Rostami Department of Mathematics, Semnan University, Semnan 35131-19111, Iran

Keywords:

Sombor index, Reduced Sombor index, Average Sombor index, Neutrosophic Graphs, Topological indices, Complete neutrosophic graph, Regular neutrosophic graph

Abstract

: One of the most fundamental ideas in chemical graphs is topological indices. Numerous
applications of the topological index, a wholly pictorial notion, may be found in the domains of
nanotechnology, chemistry, materials science, medicines, and other things. Neutrosophic graphs
are three-valued logic-based graphs. Although in some circumstances it is challenging to optimize
and model such utilizing fuzzy graphs, they may be regarded as a fuzzy graph. In this study, the
kinds of Sombor indices on neutrosophic graphs are first defined. A degree-based indicator called
the Sombor index was developed by Gutman. The formula for this index is