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Results on Super Edge Magic Deficiency of Some Well-Known Classes of Finite Graphs

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Date

2024

Journal Title

Journal ISSN

Volume Title

Publisher

Universidad Catolica del Norte

Abstract

A graph Ω(Λ, Γ) is considered super edge magic if there exists a bijective function φ: Λ(Ω)∪Γ(Ω) −→ {1, 2, 3,…, |Λ(Ω)|+|Γ(Ω)|} such that φ(τ1)+φ(τ1τ2)+φ(τ2) is a constant for every edge τ1τ2 ∈ Γ(Ω), and φ(Λ(Ω)) = {1, 2, 3,…, |Λ(Ω)|}. Furthermore, the super edge magic deficiency of a graph Ω, denoted as μs(Ω), is either the minimum non-negative integer η such that Ω ∪ ηK1 is a super edge magic graph or +∞ if such an integer η does not exist. In this paper, we investigate the super edge magic deficiency of certain families of graphs. © (2024), (SciELO-Scientific Electronic Library Online). All Rights Reserved.

Description

Keywords

Degree Splitting Graph, Jellyfish Graph, Jewel Graph, Quadrilateral Snake Graph, Shadow Graph, Splitting Graph, Super Edge Magic Deficiency, Super Edge Magic Graph

Turkish CoHE Thesis Center URL

WoS Q

N/A

Scopus Q

Q3

Source

Proyecciones

Volume

43

Issue

5

Start Page

1075

End Page

1096