Total Edge Irregularity Strength of Star Snake Graphs

Authors

  • Hala Attiya Basic Science Department, Faculty of Technology and Education, Beni-Suef University, Egypt
  • Nasr Ahmed Mathematics Department, Faculty of Science, Taibah University, Saudi Arabia
  • Fatema Salama Mathematics Department, Faculty of Science, Tanta University, Tanta, Egypt

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.5673

Keywords:

Edge labeling; Irregularity strength; Irregular labelling; Total edge irregularity strength; Star snake graph.

Abstract

In different fields in our life, like physics, coding theory and computer science, graph labeling dramas an vital role and appears in many applications. A labeling of a graph  is a map which assign each element in  with a positive integer number. An edge irregular total   -labeling is a function  such that   where  and  are weights for any two distinct edges. In this case,     has total edge irregularity strength  (TEIS) if  is minimum. In our paper, we defined a new type of graphs called a triple star snake graph and star snake graph . Also, we investigated TEIS for a triple star snake graph  . After that, we generalized the results for star snake graph .

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Published

2025-05-01

Issue

Section

Discrete Mathematics

How to Cite

Total Edge Irregularity Strength of Star Snake Graphs. (2025). European Journal of Pure and Applied Mathematics, 18(2), 5673. https://doi.org/10.29020/nybg.ejpam.v18i2.5673