Some New Results on Mostar Index of Graphs
نویسندگان
1 Department of mathematics, Shahid Rajaee Teacher Training University
2 Department of Mathematics, SRTT University
3 Department of Mathematics, Srtt University
doi
10.22052/ijmc.2020.209321.1475چکیده
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.