Total absolute difference edge irregularity strength of Tp-tree graphs

Authors

  • A. Lourdusamy St. Xavier’s College (Autonomous).
  • F. Joy Beaula St. Xavier’s College (Autonomous).
  • F. Patrick St. Xavier’s College (Autonomous).

DOI:

https://doi.org/10.22199/issn.0717-6279-5411

Keywords:

edge irregularity strength, total absolute difference edge irregularity strength, Tp-tree

Abstract

A total labeling ξ is defined to be an edge irregular total absolute difference k-labeling of the graph G if for every two different edges e and f of G there is wt(e) 6= wt(f) where weight of an edge e = xy is defined as wt(e) = |ξ(e) − ξ(x) − ξ(y)|. The minimum k for which the graph G has an edge irregular total absolute difference labeling is called the total absolute difference edge irregularity strength of the graph G, tades(G). In this paper, we determine the total absolute difference edge irregularity strength of the precise values for Tp-tree related graphs.

Author Biographies

A. Lourdusamy, St. Xavier’s College (Autonomous).

Department of Mathematics.

F. Joy Beaula, St. Xavier’s College (Autonomous).

Center: PG and Research Department of Mathematic.

F. Patrick, St. Xavier’s College (Autonomous).

Department of Mathematics.

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Published

2023-11-27

How to Cite

[1]
A. Lourdusamy, F. Joy Beaula, and F. Patrick, “Total absolute difference edge irregularity strength of Tp-tree graphs”, Proyecciones (Antofagasta, On line), vol. 42, no. 6, pp. 1597-1614, Nov. 2023.

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Artículos