Total irregularity strength for product of two paths

Muhammad Kamran Siddiqui; Muhammad Imran; Muhammad Ibrahim

doi:10.1016/j.akcej.2018.11.001

AKCE International Journal of Graphs and Combinatorics (Jan 2020)

Total irregularity strength for product of two paths

Muhammad Kamran Siddiqui,
Muhammad Imran,
Muhammad Ibrahim

Affiliations

Muhammad Kamran Siddiqui: Department of Mathematics, COMSATS University Islamabad, Sahiwal Campus
Muhammad Imran: Department of Mathematical Sciences, United Arab Emirates University
Muhammad Ibrahim: Center for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University Multan

DOI: https://doi.org/10.1016/j.akcej.2018.11.001
Journal volume & issue: Vol. 17, no. 1
pp. 184 – 197

Abstract

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In this paper we define a totally irregular total labeling for Cartesian and strong product of two paths, which is at the same time vertex irregular total labeling and also edge irregular total labeling. More preciously, we determine the exact value of the total irregularity strength for Cartesian and strong product of two paths.

Published in AKCE International Journal of Graphs and Combinatorics

ISSN: 0972-8600 (Print); 2543-3474 (Online)
Publisher: Taylor & Francis Group
Country of publisher: United States
LCC subjects: Science: Mathematics
Website: https://www.tandfonline.com/journals/uakc

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