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).
Scopus Subject Areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics
- Hexagonal net
- Wiener number