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Wiener number of hexagonal jagged-rectangles

โœ Scribed by W.C. Shiu; C.S. Tong; P.C.B. Lam


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
657 KB
Volume
80
Category
Article
ISSN
0166-218X

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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

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An explicit analytical expression for E( W(n) ), the expected value of the Wiener number of a random benzenoid chain with n hexagons is obtained. In the general case, E( W(n) ) is not a polynomial in the variable n.