Fault-Tolerant Partition Resolvability of Cyclic Networks
Graph invariants provide an amazing tool to analyze the abstract structures of networks. The interaction and interconnection between devices, sensors, and service providers have opened the door for an eruption of mobile over the web applications. Structure of web sites containing number of pages can...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/7237168 |
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| _version_ | 1832546015574491136 |
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| author | Kamran Azhar Sohail Zafar Agha Kashif Michael Onyango Ojiema |
| author_facet | Kamran Azhar Sohail Zafar Agha Kashif Michael Onyango Ojiema |
| author_sort | Kamran Azhar |
| collection | DOAJ |
| description | Graph invariants provide an amazing tool to analyze the abstract structures of networks. The interaction and interconnection between devices, sensors, and service providers have opened the door for an eruption of mobile over the web applications. Structure of web sites containing number of pages can be represented using graph, where web pages are considered to be the vertices, and an edge is a link between two pages. Figuring resolving partition of the graph is an intriguing inquest in graph theory as it has many applications such as sensor design, compound classification in chemistry, robotic navigation, and Internet network. The partition dimension is a graph parameter akin to the concept of metric dimension, and fault-tolerant partition dimension is an advancement in the line of research of partition dimension of the graph. In this paper, we compute fault-tolerant partition dimension of alternate triangular cycle, mirror graph, and tortoise graphs. |
| format | Article |
| id | doaj-art-c511e78f36bb4f2899c68c22a31095c6 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-c511e78f36bb4f2899c68c22a31095c62025-02-03T07:24:09ZengWileyJournal of Mathematics2314-47852021-01-01202110.1155/2021/7237168Fault-Tolerant Partition Resolvability of Cyclic NetworksKamran Azhar0Sohail Zafar1Agha Kashif2Michael Onyango Ojiema3University of Management and Technology (UMT)University of Management and Technology (UMT)University of Management and Technology (UMT)Masinde Muliro University of Science and TechnologyGraph invariants provide an amazing tool to analyze the abstract structures of networks. The interaction and interconnection between devices, sensors, and service providers have opened the door for an eruption of mobile over the web applications. Structure of web sites containing number of pages can be represented using graph, where web pages are considered to be the vertices, and an edge is a link between two pages. Figuring resolving partition of the graph is an intriguing inquest in graph theory as it has many applications such as sensor design, compound classification in chemistry, robotic navigation, and Internet network. The partition dimension is a graph parameter akin to the concept of metric dimension, and fault-tolerant partition dimension is an advancement in the line of research of partition dimension of the graph. In this paper, we compute fault-tolerant partition dimension of alternate triangular cycle, mirror graph, and tortoise graphs.http://dx.doi.org/10.1155/2021/7237168 |
| spellingShingle | Kamran Azhar Sohail Zafar Agha Kashif Michael Onyango Ojiema Fault-Tolerant Partition Resolvability of Cyclic Networks Journal of Mathematics |
| title | Fault-Tolerant Partition Resolvability of Cyclic Networks |
| title_full | Fault-Tolerant Partition Resolvability of Cyclic Networks |
| title_fullStr | Fault-Tolerant Partition Resolvability of Cyclic Networks |
| title_full_unstemmed | Fault-Tolerant Partition Resolvability of Cyclic Networks |
| title_short | Fault-Tolerant Partition Resolvability of Cyclic Networks |
| title_sort | fault tolerant partition resolvability of cyclic networks |
| url | http://dx.doi.org/10.1155/2021/7237168 |
| work_keys_str_mv | AT kamranazhar faulttolerantpartitionresolvabilityofcyclicnetworks AT sohailzafar faulttolerantpartitionresolvabilityofcyclicnetworks AT aghakashif faulttolerantpartitionresolvabilityofcyclicnetworks AT michaelonyangoojiema faulttolerantpartitionresolvabilityofcyclicnetworks |