Wiener index of strong product of graphs

Autor: Iztok Peterin, Petra Žigert Pleteršek
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Opuscula Mathematica, Vol 38, Iss 1, Pp 81-94 (2018)
Druh dokumentu: article
ISSN: 1232-9274
DOI: 10.7494/OpMath.2018.38.1.81
Popis: The Wiener index of a connected graph \(G\) is the sum of distances between all pairs of vertices of \(G\). The strong product is one of the four most investigated graph products. In this paper the general formula for the Wiener index of the strong product of connected graphs is given. The formula can be simplified if both factors are graphs with the constant eccentricity. Consequently, closed formulas for the Wiener index of the strong product of a connected graph \(G\) of constant eccentricity with a cycle are derived.
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