Clusters and various versions of wiener-type invariants
نویسندگان
چکیده
منابع مشابه
Wiener - Type Invariants of Some Graph Operations ∗
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. Wλ(G) 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, hyperWiener index and Tratc...
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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 (or complex) number, and Wλ(G) = ∑ k≥1 d(G, k) k . It is proved that for a partial cube G, Wλ+1(G) = |F|Wλ(G)− ∑ F∈F Wλ(G\F ), where F is the partition of E(G) induced by the Djoković-Winkler relation Θ. This result extends previously known result for trees and implies several relations for distance-bas...
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ژورنال
عنوان ژورنال: Kragujevac Journal of Mathematics
سال: 2015
ISSN: 1450-9628
DOI: 10.5937/kgjmath1502155a