Local Landmarks in Circulant Graph

Cynthia, V. Jude Annie; F, Fancy V

doi:10.14445/22315373/ijmtt-v53p530

IJMTT

2018

DOI: 10.14445/22315373/ijmtt-v53p530

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Local Landmarks in Circulant Graph

V. Jude Annie Cynthia¹,

Fancy V F²

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2023

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Local Metric Dimension of Certain Classes of Circulant Networks

Cynthia¹,

Ramya²,

Prabhu³

2023

JACIII

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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.

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Local Metric Dimension of Certain Classes of Circulant Networks

Cynthia¹,

Ramya²,

Prabhu³

2023

JACIII

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Local Landmarks in Circulant Graph

Cited by 1 publication

References 4 publications

Local Metric Dimension of Certain Classes of Circulant Networks

Local Metric Dimension of Certain Classes of Circulant Networks

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