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| Paper IPM / M / 11342 |
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| Abstract: | |
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Let d(G, k) be the number of pairs of vertices of a graph G that are at
distance k, λ a real number, and Wλ(G)=∑k ≥ 1d(G,k)kλ is called
the Wiener-type invariant of G associated to real number λ. In this paper, the
Wiener-type invariants of some graph operations are computed. As immediate
consequences, the formulae for reciprocal Wiener index, Harary index, hyper-
Wiener index and Tratch-Stankevich-Zefirov index are calculated. Some upper
and lower bounds are also presented.
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