On total edge irregularity strength for some special types of uniform theta snake graphs

• Main Authors: Fatma Salama, Randa M. Abo Elanin
• Format: Article
• Language: English
• Published: AIMS Press 2021-05-01
• Series: AIMS Mathematics
• Subjects: irregular labelling; total edge irregularity strength; edge irregular total labeling; uniform theta snake graph
• Online Access: https://www.aimspress.com/article/doi/10.3934/math.2021471?viewType=HTML

A labeling of a connected, simple and undirected graph <i>G</i>(<i>V, E</i>) is a map that assigns the elements of a graph <i>G</i> with positive numbers. Many types of labeling for graph are found and one of them is a total edge irregularity strength (TEIS) of <i>G</i>, which denoted by <i>tes</i>(<i>G</i>). In the current paper, we defined a new type of family of graph called uniform theta snake graph, $\theta_{n}(t, m)$. Also, the exact values of total edge irregularity strengths for some special types of the new family have been determined.