Sharp bounds for partition dimension of generalized Möbius ladders

Autor: Hussain Zafar, Khan Junaid Alam, Munir Mobeen, Saleem Muhammad Shoaib, Iqbal Zaffar
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Open Mathematics, Vol 16, Iss 1, Pp 1283-1290 (2018)
Druh dokumentu: article
ISSN: 2391-5455
DOI: 10.1515/math-2018-0109
Popis: The concept of minimal resolving partition and resolving set plays a pivotal role in diverse areas such as robot navigation, networking, optimization, mastermind games and coin weighing. It is hard to compute exact values of partition dimension for a graphic metric space, (G, dG) and networks. In this article, we give the sharp upper bounds and lower bounds for the partition dimension of generalized Möbius ladders, Mm, n, for all n≥3 and m≥2.
Databáze: Directory of Open Access Journals