Total Edge Irregularity Strength of Star Snake Graphs

Hala Attiya; Nasr Ahmed; Fatma Salama

doi:10.20944/preprints202311.0349.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 4 November 2023 / Approved: 6 November 2023 / Online: 6 November 2023 (11:13:09 CET)

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 .

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

Computer Science and Mathematics, Mathematics

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Total Edge Irregularity Strength of Star Snake Graphs

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