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The hyper-Wiener index of the generalized hierarchical product of graphs. (English) Zbl 1222.05222
Summary: The hyper Wiener index of the connected graph $$G$$ is $$WW(G) = \frac 12 \sum _{\{u, v\}\subseteq V(G)}(d(u, v) + d(u, v)^2)$$, where $$d(u,v)$$ is the distance between the vertices $$u$$ and $$v$$ of $$G$$. In this paper we compute the hyper-Wiener index of the generalized hierarchical product of two graphs and give some applications of this operation.

##### MSC:
 05C12 Distance in graphs 05C76 Graph operations (line graphs, products, etc.)
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