AKCE International Journal of Graphs and Combinatorics, Year (2023-12)

Title : ( Mixed metric dimension over (edge) corona products )

Authors: Meysam Korivand , Kazem Khashyarmanesh , Mostafa Tavakoli ,

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Abstract

A subset S of V(G) is called a mixed resolving set for G if, for every two distinct elements x and y of V(G) ∪ E(G), there exists v ∈ S such that d(v, x) = d(v, y). The mixed metric dimension of G, denoted by dimm(G), is the minimum cardinality of a mixed resolving set in G. In this paper, a closed formula for the mixed metric dimension of corona product of graphs is proved. Also, a sharp upper bound and a closed formula for the mixed metric dimension of edge corona product of graphs is presented.

Keywords

Metric dimension; mixed metric dimension; corona product; edge corona product
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@article{paperid:1097097,
author = {Korivand, Meysam and Khashyarmanesh, Kazem and Tavakoli, Mostafa},
title = {Mixed metric dimension over (edge) corona products},
journal = {AKCE International Journal of Graphs and Combinatorics},
year = {2023},
month = {December},
issn = {0972-8600},
keywords = {Metric dimension; mixed metric dimension; corona product; edge corona product},
}

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%0 Journal Article
%T Mixed metric dimension over (edge) corona products
%A Korivand, Meysam
%A Khashyarmanesh, Kazem
%A Tavakoli, Mostafa
%J AKCE International Journal of Graphs and Combinatorics
%@ 0972-8600
%D 2023

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