Local Metric Dimension of Certain Classes of Circulant Networks
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- Cynthia V. Jude Annie
- Department of Mathematics, Stella Maris College
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- Ramya M.
- Department of Mathematics, Stella Maris College Department of Mathematics, Chevalier T. Thomas Elizabeth College for Women
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- Prabhu S.
- Department of Mathematics, Rajalakshmi Engineering College
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Abstract
<p>Let G(V,E) be a graph with a set of vertices V and a set of edges E. Then, a minimum subset Wl of V is said to be a local metric basis of G if for any two adjacent vertices u,v∈V∖Wl there exists a vertex w∈Wl such that d(u,w) ≠ d(v,w). The cardinality of a local metric basis is referred to as the local metric dimension of the graph G denoted by βl(G). In this paper, we investigate the local metric dimensions of certain circulant-related architectures such as Harary graphs Hk,n with even k or n, Toeplitz networks, and ILLIAC networks.</p>
Journal
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- Journal of Advanced Computational Intelligence and Intelligent Informatics
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Journal of Advanced Computational Intelligence and Intelligent Informatics 27 (4), 554-560, 2023-07-20
Fuji Technology Press Ltd.
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Details 詳細情報について
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- CRID
- 1390859779495923328
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- NII Book ID
- AA12042502
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- ISSN
- 18838014
- 13430130
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- NDL BIB ID
- 032947549
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL
- Crossref
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- Abstract License Flag
- Disallowed