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Paper IPM / M / 11342  


Abstract:  
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 ≥ 1}d(G,k)kλ is called
the Wienertype invariant of G associated to real number λ. In this paper, the
Wienertype invariants of some graph operations are computed. As immediate
consequences, the formulae for reciprocal Wiener index, Harary index, hyper
Wiener index and TratchStankevichZefirov index are calculated. Some upper
and lower bounds are also presented.
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