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On edge irregularity strength of certain families of snake graph

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Title: On edge irregularity strength of certain families of snake graph

Authors: Muhammad Faisal Nadeem, Murat Cancan, Muhammad Imran, Yasir Ali

Journal: Journal of Prime Research in Mathematics

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
Y 2020-07-01 2021-06-30

Publisher: Abdus Salam School of Mathematical Sciences, GC University

Country: Pakistan

Year: 2023

Volume: 19

Issue: 1

Language: English

Keywords: edge irregularity strengthsnake graph

Categories
Graph Theory (455) Snake Graphs (2) Edge Irregularity Strength (1) Combinatorics (285) Network Analysis (50)

Abstract

Edge irregular mapping or vertex mapping β : V (U) → {1, 2, 3, …, s} is a mapping of vertices in such a way that all edges have distinct weights. We evaluate weight of any edge by using equation wtβ(cd) = β(c)+β(d), ∀c, d ∈ V (U) and cd ∈ E(U). Edge irregularity strength denoted by es(U) is a minimum positive integer used to label vertices to form edge irregular labeling. The aim of this paper is to determine the exact value of edge irregularity strength of different families of snake graph.

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