The Edge-Wiener Index and Its Computation for Some Nanostructures

  • Ali Iranmanesh
Part of the Carbon Materials: Chemistry and Physics book series (CMCP, volume 7)


The first and the second edge versions of Wiener index, which were based on the distance between two edges in a connected graph G, were introduced by Iranmanesh et al. in (MATCH Commun Math Comput Chem 61:663, 2009).

In this chapter, at first we obtain the explicit relation between different versions of Wiener number and due to this relation, the edge-Wiener numbers of some graph have been computed. Then we find the first edge-Wiener index of the composition and sum of graphs. As an application of our results, we find the first and the second edge-Wiener indices of some nanostructures.


Connected Graph Topological Index Wiener Index Black Vertex White Vertex 
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This work was partially supported by Center of Excellence of Algebraic Hyperstructures and its Applications of Tarbiat Modares University (CEAHA).


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Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.Department of MathematicsTarbiat Modares UniversityTehranIran

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