TY - JOUR
ID - 105538
TI - Some New Results on Mostar Index of Graphs
JO - Iranian Journal of Mathematical Chemistry
JA - IJMC
LA - en
SN - 2228-6489
AU - Ghorbani, Modjtaba
AU - Rahmani, Shaghayegh
AU - Eslampoor, Mohammad
AD - Department of mathematics, Shahid Rajaee Teacher Training University
AD - Department of Mathematics, SRTT University
AD - Department of Mathematics, Srtt University
Y1 - 2020
PY - 2020
VL - 11
IS - 1
SP - 33
EP - 42
KW - Molecular graphs
KW - topological index
KW - Automorphism group
DO - 10.22052/ijmc.2020.209321.1475
N2 - A general bond additive index (GBA) can be defined as , where α(e) is edge contributions. The Mostar index is a new topological index whose edge contributions are α(e) = | nu - nv| in which nu is the number of vertices of lying closer to vertex u than to vertex v and nv can be defined similarly. In this paper, we propose some new results on the Mostar index based on the vertex-orbits under the action of automorphism group. In addition, we detrmined the structures of graphs with Mostar index equal 1. Finally, compute the Mostar index of a family of nanocone graphs.
UR - https://ijmc.kashanu.ac.ir/article_105538.html
L1 - https://ijmc.kashanu.ac.ir/article_105538_d4c7377f14f11fdb1555a6a0ed9f1700.pdf
ER -