Journal of Mathematical Chemistry

, Volume 2, Issue 3, pp 267–277 | Cite as

How to compute the Wiener index of a graph

  • Bojan Mohar
  • Tomaž Pisanski
Notes

Abstract

The Wiener index of a graphG is equal to the sum of distances between all pairs of vertices ofG. It is known that the Wiener index of a molecular graph correlates with certain physical and chemical properties of a molecule. In the mathematical literature, many good algorithms can be found to compute the distances in a graph, and these can easily be adapted for the calculation of the Wiener index. An algorithm that calculates the Wiener index of a tree in linear time is given. It improves an algorithm of Canfield, Robinson and Rouvray. The question remains: is there an algorithm for general graphs that would calculate the Wiener index without calculating the distance matrix? Another algorithm that calculates this index for an arbitrary graph is given.

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Copyright information

© J.C. Baltzer AO, Scientific Publishing Company 1988

Authors and Affiliations

  • Bojan Mohar
    • 1
    • 2
  • Tomaž Pisanski
    • 1
    • 2
  1. 1.Department of Ma theima ticsUniversity E.K. of LjubljanaLjubljanaYugoslavia
  2. 2.Department of Mathematics and StatisticsSimon Fraser UniversityBurnabyCanada

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