Fractional Metric Dimension of Generalized Jahangir Graph

Jia-Bao Liu; Agha Kashif; Tabasam Rashid; Muhammad Javaid

doi:10.3390/math7010100

Mathematics (Jan 2019)

Fractional Metric Dimension of Generalized Jahangir Graph

Jia-Bao Liu,
Agha Kashif,
Tabasam Rashid,
Muhammad Javaid

Affiliations

Jia-Bao Liu: School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China
Agha Kashif: Department of Mathematics, School of Science, University of Management and Technology, Lahore 54770, Pakistan
Tabasam Rashid: Department of Mathematics, School of Science, University of Management and Technology, Lahore 54770, Pakistan
Muhammad Javaid: Department of Mathematics, School of Science, University of Management and Technology, Lahore 54770, Pakistan

DOI: https://doi.org/10.3390/math7010100
Journal volume & issue: Vol. 7, no. 1
p. 100

Abstract

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Arumugam and Mathew [Discret. Math. 2012, 312, 1584–1590] introduced the notion of fractional metric dimension of a connected graph. In this paper, a combinatorial technique is devised to compute it. In addition, using this technique the fractional metric dimension of the generalized Jahangir graph J m , k is computed for k ≥ 0 and m = 5 .

Published in Mathematics

ISSN: 2227-7390 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Mathematics
Website: http://www.mdpi.com/journal/mathematics

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