Title of article :
ON CERTAIN TOPOLOGICAL INDICES OF THE DERIVED GRAPHS OF SUBDIVISION GRAPHS
Author/Authors :
HOSAMANI, S.M Department of Mathematics - Rani Channamma University - Belagavi - Karnataka, India , LOKESHA, V Department of Studies in Mathematics VSK University - Bellary - Karnataka, India , CANGUL, I.N Department of Mathematics - Faculty of Arts and Science Uludag University - Bursa, Turkey , DEVENDRAIAH, K.M Department of Studies in Mathematics VSK University - Bellary - Karnataka, India
Abstract :
The derived graph [G]
†
of a graph G is the graph having the same vertex
set as G, with two vertices of [G]
† being adjacent if and only if their distance in G is
two. Topological indices are valuable in the study of QSAR/QSPR. There are numerous
applications of graph theory in the field of structural chemistry. In this paper, we compute generalized Randi´c, general Zagreb, general sum-connectivity, ABC, GA, ABC4,
and GA5 indices of the derived graphs of subdivision graphs
Keywords :
topological indices , line graph , subdivision graph , derived graph
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
