The Wiener number of the hexagonal net

Wai Chee SHIU*, Peter C.B. Lam

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

29 Citations (Scopus)

Abstract

The Wiener number of a molecular graph, or more generally of a connected graph, is equal to the sum of distances between all pairs of its vertices. A graph formed by a hexagon in the centre, surrounded by n rings of hexagonal cells, is called an n-hexagonal net. It is shown that the Wiener number of an n-hexagonal net equals 1/5(164n5 - 30n3 + n).

Original languageEnglish
Pages (from-to)101-111
Number of pages11
JournalDiscrete Applied Mathematics
Volume73
Issue number2
DOIs
Publication statusPublished - 7 Mar 1997

Scopus Subject Areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

User-Defined Keywords

  • Hexagonal net
  • Wiener number

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