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Algebra and Discrete Mathematics, 2020, Volume 30, Issue 1, Pages 1–14
DOI: https://doi.org/10.12958/adm242 (Mi adm761) 		 
This article is cited in 1 scientific paper (total in 1 paper)

RESEARCH ARTICLE

On the edge-Wiener index of the disjunctive product of simple graphs

M. Azaria, A. Iranmaneshb

a Department of Mathematics, Kazerun Branch, Islamic Azad University, P.O. Box: 73135-168, Kazerun, Iran
b Department of Pure Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, P.O. Box: 14115-137, Tehran, Iran
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DOI: https://doi.org/10.12958/adm242
Abstract: The edge-Wiener index of a simple connected graph $G$ is defined as the sum of distances between all pairs of edges of $G$ where the distance between two edges in $G$ is the distance between the corresponding vertices in the line graph of $G$. In this paper, we study the edge-Wiener index under the disjunctive product of graphs and apply our results to compute the edge-Wiener index for the disjunctive product of paths and cycles.
Keywords: distance in graphs, edge-Wiener index, disjunctive product of graphs.
Funding agency Grant number
Center of Excellence of Algebraic Hyper-structures and its Applications of Tarbiat Modares University
The partial support by the Center of Excellence of Algebraic Hyper-structures and its Applications of Tarbiat Modares University (CEAHA) is gratefully acknowledged by the second author.
Received: 27.06.2016
Revised: 27.09.2017
Bibliographic databases:
Document Type: Article
MSC: 05C76, 05C12, 05C38
Language: English
Citation: M. Azari, A. Iranmanesh, “On the edge-Wiener index of the disjunctive product of simple graphs”, Algebra Discrete Math., 30:1 (2020), 1–14
Citation in format AMSBIB
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\by M.~Azari, A.~Iranmanesh
\paper On the edge-Wiener index of the disjunctive product of simple graphs
\jour Algebra Discrete Math.
\yr 2020
\vol 30
\issue 1
\pages 1--14
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