Metric Dimension on Path-Related Graphs

Graph theory has a large number of applications in the fields of computer networking, robotics, Loran or sonar models, medical networks, electrical networking, facility location problems, navigation problems etc. It also plays an important role in studying the properties of chemical structures. In t...

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Autores principales: Saqib Nazeer, Muhammad Hussain, Fatimah Abdulrahman Alrawajeh, Sultan Almotairi
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Lenguaje:EN
Publicado: Hindawi Limited 2021
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Acceso en línea:https://doaj.org/article/c015e0cc031142b08d3e846bc96a9c06
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spelling oai:doaj.org-article:c015e0cc031142b08d3e846bc96a9c062021-11-08T02:36:09ZMetric Dimension on Path-Related Graphs1563-514710.1155/2021/2085778https://doaj.org/article/c015e0cc031142b08d3e846bc96a9c062021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/2085778https://doaj.org/toc/1563-5147Graph theory has a large number of applications in the fields of computer networking, robotics, Loran or sonar models, medical networks, electrical networking, facility location problems, navigation problems etc. It also plays an important role in studying the properties of chemical structures. In the field of telecommunication networks such as CCTV cameras, fiber optics, and cable networking, the metric dimension has a vital role. Metric dimension can help us in minimizing cost, labour, and time in the above discussed networks and in making them more efficient. Resolvability also has applications in tricky games, processing of maps or images, pattern recognitions, and robot navigation. We defined some new graphs and named them s−middle graphs, s-total graphs, symmetrical planar pyramid graph, reflection symmetrical planar pyramid graph, middle tower path graph, and reflection middle tower path graph. In the recent study, metric dimension of these path-related graphs is computed.Saqib NazeerMuhammad HussainFatimah Abdulrahman AlrawajehSultan AlmotairiHindawi LimitedarticleEngineering (General). Civil engineering (General)TA1-2040MathematicsQA1-939ENMathematical Problems in Engineering, Vol 2021 (2021)
institution DOAJ
collection DOAJ
language EN
topic Engineering (General). Civil engineering (General)
TA1-2040
Mathematics
QA1-939
spellingShingle Engineering (General). Civil engineering (General)
TA1-2040
Mathematics
QA1-939
Saqib Nazeer
Muhammad Hussain
Fatimah Abdulrahman Alrawajeh
Sultan Almotairi
Metric Dimension on Path-Related Graphs
description Graph theory has a large number of applications in the fields of computer networking, robotics, Loran or sonar models, medical networks, electrical networking, facility location problems, navigation problems etc. It also plays an important role in studying the properties of chemical structures. In the field of telecommunication networks such as CCTV cameras, fiber optics, and cable networking, the metric dimension has a vital role. Metric dimension can help us in minimizing cost, labour, and time in the above discussed networks and in making them more efficient. Resolvability also has applications in tricky games, processing of maps or images, pattern recognitions, and robot navigation. We defined some new graphs and named them s−middle graphs, s-total graphs, symmetrical planar pyramid graph, reflection symmetrical planar pyramid graph, middle tower path graph, and reflection middle tower path graph. In the recent study, metric dimension of these path-related graphs is computed.
format article
author Saqib Nazeer
Muhammad Hussain
Fatimah Abdulrahman Alrawajeh
Sultan Almotairi
author_facet Saqib Nazeer
Muhammad Hussain
Fatimah Abdulrahman Alrawajeh
Sultan Almotairi
author_sort Saqib Nazeer
title Metric Dimension on Path-Related Graphs
title_short Metric Dimension on Path-Related Graphs
title_full Metric Dimension on Path-Related Graphs
title_fullStr Metric Dimension on Path-Related Graphs
title_full_unstemmed Metric Dimension on Path-Related Graphs
title_sort metric dimension on path-related graphs
publisher Hindawi Limited
publishDate 2021
url https://doaj.org/article/c015e0cc031142b08d3e846bc96a9c06
work_keys_str_mv AT saqibnazeer metricdimensiononpathrelatedgraphs
AT muhammadhussain metricdimensiononpathrelatedgraphs
AT fatimahabdulrahmanalrawajeh metricdimensiononpathrelatedgraphs
AT sultanalmotairi metricdimensiononpathrelatedgraphs
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