Connected metric dimension of the class of ladder graphs

M. Iqbal Batiha; Mohamed Amin; Basma Mohamed; H. Iqbal Jebril

doi:10.21595/mme.2024.23934

Connected metric dimension of the class of ladder graphs

M. Iqbal Batiha
, Mohamed Amin
, Basma Mohamed
, H. Iqbal Jebril

Nonlinear Dynamic Research Centre (NDRC)

Al-Zaytoonah University of Jordan
Menoufia University

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

Numerous applications, like robot navigation, network verification and discovery, geographical routing protocols, and combinatorial optimization, make use of the metric dimension and connected metric dimension of graphs. In this work, the connected metric dimension types of ladder graphs, namely, ladder, circular, open, and triangular ladder graphs, as well as open diagonal and slanting ladder graphs, are studied.

Original language	English
Pages (from-to)	65-74
Number of pages	10
Journal	Mathematical Models in Engineering
Volume	10
Issue number	2
DOIs	https://doi.org/10.21595/mme.2024.23934
State	Published - Jun 2024

Keywords

connected metric dimension
connected resolving set
ladder graphs

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10.21595/mme.2024.23934

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abstract = "Numerous applications, like robot navigation, network verification and discovery, geographical routing protocols, and combinatorial optimization, make use of the metric dimension and connected metric dimension of graphs. In this work, the connected metric dimension types of ladder graphs, namely, ladder, circular, open, and triangular ladder graphs, as well as open diagonal and slanting ladder graphs, are studied.",

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AB - Numerous applications, like robot navigation, network verification and discovery, geographical routing protocols, and combinatorial optimization, make use of the metric dimension and connected metric dimension of graphs. In this work, the connected metric dimension types of ladder graphs, namely, ladder, circular, open, and triangular ladder graphs, as well as open diagonal and slanting ladder graphs, are studied.

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Connected metric dimension of the class of ladder graphs

Abstract

Keywords

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