Open AccessOn the Wiener Index of the Dot Product Graph over Monogenic Semigroups
Author(s) -
Busra AYDIN,
Nihat Akgüneş,
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.v13i5.3745
Subject(s) - mathematics , wiener index , combinatorics , graph product , discrete mathematics , graph , spectral graph theory , algebraic graph theory , topological index , line graph , voltage graph , pathwidth
Algebraic study of graphs is a relatively recent subject which arose in two main streams: One is named as the spectral graph theory and the second one deals with graphs over several algebraic structures. Topological graph indices are widely-used tools in especially molecular graph theory and mathematical chemistry due to their time and money saving applications. The Wiener index is one of these indices which is equal to the sum of distances between all pairs of vertices in a connected graph. The graph over the nite dot product of monogenic semigroups has recently been dened and in this paper, some results on the Wiener index of the dot product graph over monogenic semigroups are given.