On Constant Metric Dimension of Some Generalized Convex Polytopes | Zendy

Xuewu Zuo | Zendy; Abid Ali | Zendy; Gohar Ali | Zendy; Muhammad Kamran Siddiqui | Zendy; Muhammad Tariq Rahim | Zendy; Asare-Tuah Anton | Zendy

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On Constant Metric Dimension of Some Generalized Convex Polytopes

Author(s) -

Xuewu Zuo,

Abid Ali,

Gohar Ali,

Muhammad Kamran Siddiqui,

Muhammad Tariq Rahim,

Asare-Tuah Anton

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/6919858

Subject(s) - mathematics , dimension (graph theory) , combinatorics , metric space , bounded function , metric (unit) , discrete mathematics , mathematical analysis , operations management , economics

Metric dimension is the extraction of the affine dimension (obtained from Euclidean space E d ) to the arbitrary metric space. A family ℱ = G n of connected graphs with n ≥ 3 is a family of constant metric dimension if dim G = k (some constant) for all graphs in the family. Family ℱ has bounded metric dimension if dim G n ≤ M , for all graphs in ℱ . Metric dimension is used to locate the position in the Global Positioning System (GPS), optimization, network theory, and image processing. It is also used for the location of hospitals and other places in big cities to trace these places. In this paper, we analyzed the features and metric dimension of generalized convex polytopes and showed that this family belongs to the family of bounded metric dimension.

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