Total Edge Irregularity Strength of Star Snake Graphs

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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Publication Details

Journal
European Journal of Pure and Applied Mathematics
Published
2025-05-01
DOI
https://doi.org/10.29020/nybg.ejpam.v18i2.5673
Primary Topic
Graph Labeling and Dimension Problems
Type
article
Field-Weighted Citation Impact
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article

Total Edge Irregularity Strength of Star Snake Graphs

Hala Attiya, Nasr Ahmed, F. Salama
European Journal of Pure and Applied Mathematics
Graph Labeling and Dimension Problems
article

Total Edge Irregularity Strength of Star Snake Graphs

Hala Attiya, Nasr Ahmed, F. Salama
article en

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 .

European Journal of Pure and Applied MathematicsVol. 18(2)
Tanta University (EG)
Openalex Percentile: Top 90%
Graph Labeling and Dimension Problems
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