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Arya Bhatta Journal of Mathematics and Informatics
Year : 2023, Volume : 15, Issue : 1
First page : ( 121) Last page : ( 126)
Print ISSN : 0975-7139. Online ISSN : 2394-9309.
Article DOI : 10.5958/2394-9309.2023.00017.3

Skolem Odd Vertex Graceful Signed Graphs for Path

Dr. Shalini P.*

Associate Professor, PG and Research Department of Mathematics, Cauvery College for Women (Autonomous)

*E-mail : drpshalini11@gmail.com

Online Published on 08 June, 2023.

Abstract

In this article, the new concept skolem odd vertex graceful signed graphs on directed graphs have been introduced. A graph G(P, m, n) is a bijective function f:V(G) {1, 3, 5, 7, …, 2p-1} such that, when each edge uv E(G) is assigned by f(uv) = f(v) -f(u) the positive edges receive distinct labels from the set {1, 3, 5, …, 2m-1} and the negative edges receive distinct labels from the set {-1, -3, -5, -6, ..., -2n-1}, it is called as a skolem odd vertex graceful signed graphs. In this article, Path graph is investigated under skolem odd vertex graceful labeling for signed graph.

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Keywords

Graceful Labeling, Signed Graphs, Additive Labeling, Skolem edge graceful labeling.

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