ON THE VERTEX-EDGE WIENER INDICES OF THORN GRAPHS

Authors

  • M. Azari Department of Mathematics, Kazerun Branch, Islamic Azad University, P. O. Box: 73135-168, Kazerun, Iran Author

Keywords:

Topological index, thorn graph, bipartite graph, Kragujevac tree, dendrimer

Subjects:

05C12, 05C76

Abstract

The vertex-edge Wienerindex is a graph invariant defined as the sum of distances betweenvertices and edges of a graph. In this paper, we study therelation between the first and second vertex-edge Wiener indicesof thorn graph and its parent graph and examine several specialcases of the results. Results are applied to compute the first andsecond vertex-edge Wiener indices of thorn stars, Kragujevactrees, and dendrimers.

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Published

2019-07-15

Issue

Vol. 71 No. 3 (2019): Vol. 71, Issue 3

Section

Articles

License

Copyright (c) 2019 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.