Edge-Wiener Indices of $n$-circumscribed Peri-condensed Benzenoid Graphs


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Authors

  • Jasintha Quadras Department of Mathematics, Stella Maris College, Chennai, Tamilnadu, India
  • K. Arputha Christy Department of Mathematics, Stella Maris College, Chennai, Tamilnadu, India
  • A. Nelson Department of Mathematics, Loyola College, Chennai, Tamilnadu, India

Keywords:

Edge-Wiener indices, Cut method, Circum-polyacenes, Circum-pyrenes, Circum-trizenes

Abstract

The cut method demonstrates its usefulness especially for the topological indices that are based on the distances in the molecular graphs without actually calculating the distances between pairs of vertices. The Wiener index is equal to the sum of distances between all pairs of vertices of the connected graph $G$, whereas the Edge-Wiener index is the sum of distances between all pairs of edges of the connected graph $G$. In this paper we calculate the Edge-Wiener indices of Circum-polyacenes, Circum-pyrenes and Circum-trizenes.

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Published

15-12-2016

How to Cite

Jasintha Quadras, K. Arputha Christy, & A. Nelson. (2016). Edge-Wiener Indices of $n$-circumscribed Peri-condensed Benzenoid Graphs. International Journal of Mathematics And Its Applications, 4(4), 117–123. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/960

Issue

Vol. 4 No. 4 (2016)

Section

Research Article

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