Opuscula Math. 38, no. 1 (2018), 81-94

Opuscula Mathematica

Wiener index of strong product of graphs

Iztok Peterin
Petra Žigert Pleteršek

Abstract. 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.

Keywords: Wiener index, graph product, strong product.

Mathematics Subject Classification: 05C12, 05C76.

Full text (pdf)

Opuscula Mathematica - cover

Cite this article as:
Iztok Peterin, Petra Žigert Pleteršek, Wiener index of strong product of graphs, Opuscula Math. 38, no. 1 (2018), 81-94, https://doi.org/10.7494/OpMath.2018.38.1.81

Download this article's citation as:
a .bib file (BibTeX),
a .ris file (RefMan),
a .enw file (EndNote)
or export to RefWorks.

In accordance with EU legislation we advise you this website uses cookies to allow us to see how the site is used. All data is anonymized.
All recent versions of popular browsers give users a level of control over cookies. Users can set their browsers to accept or reject all, or certain, cookies.