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Article type: Research Article
Authors: Sivakumaran, V.a; * | Sankar, K.b
Affiliations: [a] Department Mathematics, Rajalakshmi Engineering College, Thandalam, Chennai, India | [b] Department of Mathematics, Anna University, Chennai, India
Correspondence: [*] Corresponding author. V. Sivakumaran, Department Mathematics, Rajalakshmi Engineering College, Thandalam, Chennai 602105, India. Email: anukumar675@gmail.com.
Abstract: Consider a simple graph G = 〈V, E〉 with n vertices. Define a function f from vertex set of G to set of integers 1, 2, …, n subject to the condition that there exists an integer k > 0 such that the sum of adjacent labels of each vertex in G is equal to k. In this paper, we prove that the graph Kn-⌊n2⌋e has DML for all n ≥ 1, decomposition of distance magic graph K2n - {ne} into n(n-1)2 edge distinct copies of C4 for all n ≥ 2 and DML of join of complete graphs gives unique mathematical model and it will be a useful model in big data analysis.
Keywords: Distance magic labeling, magic constant, decomposition of distance magic graph, join of complete graphs, big data analysis
DOI: 10.3233/JIFS-224511
Journal: Journal of Intelligent & Fuzzy Systems, vol. 46, no. 2, pp. 5013-5020, 2024
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