2016•Indian Journal of Science and TechnologyOpen access

Labeling on Line Digraphs

R. Thamizharasi, R. Raja Rajeswari

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Abstract

Objectives: In this paper, we prove that the line digraphs of Cayley digraphs admit super vertex (a,d) antimagic labeling, product anti magic and vertex magic total labeling. Also we have shown the labeling formula to get the same. Findings: If a Cayley digraph admits the above three labelings, then the line digraph of Cayley digraph also admits the same. Keywords: Antimagic, Labelings, Line Digraphs, Magic

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What this paper is about

Objectives: In this paper, we prove that the line digraphs of Cayley digraphs admit super vertex (a,d) antimagic labeling, product anti magic and vertex magic total labeling. Also we have shown the labeling formula to get the same. Findings: If a Cayley digraph admits the above three labelings, then the line digraph of Cayley digraph also admits the same. Keywords: Antimagic, Labelings, Line Digraphs, Magic

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Available abstract

Objectives: In this paper, we prove that the line digraphs of Cayley digraphs admit super vertex (a,d) antimagic labeling, product anti magic and vertex magic total labeling. Also we have shown the labeling formula to get the same. Findings: If a Cayley digraph admits the above three labelings, then the line digraph of Cayley digraph also admits the same. Keywords: Antimagic, Labelings, Line Digraphs, Magic

Key concepts: Digraph, Combinatorics, MAGIC (telescope), Vertex (graph theory), Mathematics, Line (geometry), Discrete mathematics, Graph

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