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Bounds for partition dimension of M-wheelsopen access
- Authors
- Hussain, Zafar; Kang, Shin Min; Rafique, Muqdas; Munir, Mobeen; Ali, Usman; Zahid, Aqsa; Saleem, Muhammad Shoaib
- Issue Date
- Jan-2019
- Publisher
- DE GRUYTER POLAND SP Z O O
- Keywords
- Metric dimension; partition dimension; generalized Wheel
- Citation
- OPEN PHYSICS, v.17, no.1, pp 340 - 344
- Pages
- 5
- Indexed
- SCIE
SCOPUS
- Journal Title
- OPEN PHYSICS
- Volume
- 17
- Number
- 1
- Start Page
- 340
- End Page
- 344
- ISSN
- 2391-5471
- Abstract
- Resolving partition and partition dimension have multipurpose applications in computer, networking, optimization, mastermind games and modelling of chemical substances. The problem of finding exact values of partition dimension is hard so one can find bound for the partition dimension of a general family of graph. In the present article, we give the sharp upper bounds and lower bounds for the partition dimension of m -wheel, W-n,W-m for all n >= 4 and m >= 1. Presented data generalise some already available results.
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