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The edge Wiener index of suspensions, bottlenecks and thorny graphs (CROSBI ID 207636)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Alizadeh, Yaser ; Iranmanesh, Ali ; Došlić, Tomislav ; Azari, Mahdieh The edge Wiener index of suspensions, bottlenecks and thorny graphs // Glasnik matematički, 49 (2014), 1; 1-12. doi: 10.3336/gm.49.1.01

Podaci o odgovornosti

Alizadeh, Yaser ; Iranmanesh, Ali ; Došlić, Tomislav ; Azari, Mahdieh

engleski

The edge Wiener index of suspensions, bottlenecks and thorny graphs

Let $G$ be a simple connected graph. The distance between the edges $g$ and $f\in E(G)$ is defined as the distance between the corresponding vertices $g$ and $f$ in the line graph of $G$. The edge-Wiener index of $G$ is defined as the sum of such distances between all pairs of edges of the graph. Let $G_1+G_2$ and $G_1\circ G_2$ be the join and the corona of graphs $G_1$ and $G_2$, respectively. In this paper, we present explicit formulas for the edge-Wiener index for these graphs. Then we apply our results to compute the edge-Wiener index of suspensions, bottlenecks, and thorny graphs.

Distance ; Edge-Wiener index ; Join ; Corona

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Podaci o izdanju

49 (1)

2014.

1-12

objavljeno

0017-095X

10.3336/gm.49.1.01

Povezanost rada

Matematika

Poveznice
Indeksiranost