The Wiener number of the hexagonal net

W. C. Shiu; Peter C.B. Lam

doi:10.1016/S0166-218X(96)00109-6

The Wiener number of the hexagonal net

W. C. Shiu^*, Peter C.B. Lam

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-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 language	English
Pages (from-to)	101-111
Number of pages	11
Journal	Discrete Applied Mathematics
Volume	73
Issue number	2
DOIs	https://doi.org/10.1016/S0166-218X(96)00109-6
Publication status	Published - 7 Mar 1997

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Hexagonal net
Wiener number

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10.1016/S0166-218X(96)00109-6

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title = "The Wiener number of the hexagonal net",

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).",

keywords = "Hexagonal net, Wiener number",

author = "Shiu, {W. C.} and Lam, {Peter C.B.}",

note = "Funding Information: ii This work is supported by the Hong Kong Baptist University Faculty Research Grant * Corresponding author. E-mail: [email protected].",

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The Wiener number of the hexagonal net

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