TY  - JOUR
ID  - Peterin2018
LB  - Peterin2018
AU  - Peterin, Iztok
AU  - Žigert Pleteršek, Petra
TI  - Wiener index of strong product of graphs
ST  - Wiener index of strong product of graphs
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2018
VL  - 38
IS  - 1
SP  - 81
EP  - 94
DO  - https://doi.org/10.7494/OpMath.2018.38.1.81
UR  - https://doi.org/10.7494/OpMath.2018.38.1.81
AB  - 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.
KW  - Wiener index
KW  - graph product
KW  - strong product
SN  - 1232-9274
ER  -