Open AccessHarmonic Index and Zagreb Indices of Vertex-Semitotal Graphs
Author(s) -
Aysun Yurttaş Güneş,
Müge Togan,
Musa Demırcı,
İsmaıl Nacı Cangül
Publication year - 2020
Publication title -
european journal of pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.245
H-Index - 5
ISSN - 1307-5543
DOI - 10.29020/nybg.ejpam.v13i5.3725
Subject(s) - topological index , mathematical chemistry , mathematics , vertex (graph theory) , molecular graph , quantitative structure–activity relationship , spectral graph theory , graph property , invariant (physics) , combinatorics , topological graph theory , graph theory , discrete mathematics , graph , line graph , pathwidth , voltage graph , computer science , machine learning , mathematical physics
Graph theory is one of the rising areas in mathematics due to its applications in many areas of science. Amongst several study areas in graph theory, spectral graph theory and topological descriptors are in front rows. These descriptors are widely used in QSPR/QSAR studies in mathematical chemistry. Vertex-semitotal graphs are one of the derived graph classes which are useful in calculating several physico-chemical properties of molecular structures by means of molecular graphs modelling the molecules. In this paper, several topological descriptors of vertex-semitotal graphs are calculated. Some new relations on these values are obtained by means of a recently defined graph invariant called omega invariant.