On total edge irregularity strength for some special types of uniform theta snake graphs
Fatma Salama, Randa M. Abo Elanin · AIMS Mathematics · 2021
A labeling of a connected, simple and undirected graph G(V, E) is a map that assigns the elements of a graph G with positive numbers. Many types of labeling for graph are found and one of them is a total edge irregularity strength (TEIS) of G, which denoted by tes(G). 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.