Super magic deficiency of graphs. (18th August 2022)

• Record Type: Journal Article
• Authors: Raheem, A.; Javaid, M.; Hanif, M.; Hasni, R.; Shah, Nasir
• Is Part Of: Journal of discrete mathematical sciences & cryptography. Volume 25:Number 6(2022)
• Page Start: 1729
• Page End: 1743
• Publication Date: 2022-08-18
• Subjects: 05C78; Star -- Subdivided star -- Labeling; Computer science -- Mathematics -- Periodicals; Cryptography -- Periodicals; Computer science -- Mathematics; Cryptography; Periodicals; 004.0151
• DOI: 10.1080/09720529.2020.1809108
• Languages: English
• ISSNs: 0972-0529

Abstract

Abstract: An edge-magic total (EMT) labeling for graph Γ is one-one map from π : V (Γ) ∪ E (Γ) → {1, 2, … , | V (Γ)|+| E (Γ)|}, so that there manage a number c along a rule that for every edge, uv ∈ E (Γ), π ( u ) + π ( uv ) + π ( v ) = c . And if all vertices are assigned with positive integral numbers {1, 2, … , | V (Γ)|} then this type of labeling is called a super EMT labeling. Super edge-magic, deficiency for graph Γ, represented as μs (Γ), which is least positive integral number n so that Γ∪ nK 1 has super EMT labeling, or ∞, if there does not exist n . In present article, compute a super edge-magic deficiency for the graph .