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All Journal Electronic Journal of Graph Theory and Applications (EJGTA)
Martin Baca
Department of Applied Mathematics and Informatics, Technical University, Ko\v{s}ice, Slovak Republic
Electrical & Electronics Engineering

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On reflexive edge strength of generalized prism graphs Muhammad Irfan; Martin Baca; Andrea Semanicova-Fenovcikova
Electronic Journal of Graph Theory and Applications (EJGTA) Vol 10, No 2 (2022): Electronic Journal of Graph Theory and Applications
Publisher : GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/ejgta.2022.10.2.6

Abstract

Let G be a connected, simple and undirected graph. The assignments {0, 2, …, 2kv} to the vertices and {1, 2, …, ke} to the edges of graph G are called total k-labelings, where k = max{ke, 2kv}. The total k-labeling is called an reflexive edge irregular k-labeling of the graph G, if for every two different edges xy and x′y′ of G, one haswt(xy)=fv(x)+fe(xy)+fv(y)≠wt(x′y′) = fv(x′) + fe(x′y′) + fv(y′).The minimum k for which the graph G has an reflexive edge irregular k-labeling is called the reflexive edge strength of G. In this paper we investigate the exact value of reflexive edge strength for generalized prism graphs.
Co-Authors Andrea Semanicova-Fenovcikova Muhammad Irfan