On -irregularity strength of ladders and fan graphs

Faraha Ashraf; Martin Bača; Andrea Semaničová-Feňovčíková; Muhammad Kamran Siddiqui

doi:10.1016/j.akcej.2019.04.002

AKCE International Journal of Graphs and Combinatorics (Jan 2020)

On -irregularity strength of ladders and fan graphs

Faraha Ashraf,
Martin Bača,
Andrea Semaničová-Feňovčíková,
Muhammad Kamran Siddiqui

Affiliations

Faraha Ashraf: Abdus Salam School of Mathematical Sciences, GC University
Martin Bača: Department of Applied Mathematics and Informatics, Technical University
Andrea Semaničová-Feňovčíková: Department of Applied Mathematics and Informatics, Technical University
Muhammad Kamran Siddiqui: Department of Mathematics, COMSATS University Islamabad

DOI: https://doi.org/10.1016/j.akcej.2019.04.002
Journal volume & issue: Vol. 17, no. 1
pp. 213 – 219

Abstract

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We investigate modifications of the well-known irregularity strength of graphs, namely, total (vertex, edge) -irregularity strengths. Recently the bounds and precise values for some families of graphs concerning these parameters have been determined. In this paper, we determine the exact value of the total (vertex, edge) -irregularity strengths for the ladders and fan graphs.

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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