On the total edge irregularity strength of general uniform cactus chain graphs with pendant vertices

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Isnaini Rosyida, Eka Ningrum, Mulyono, Diari Indriati

2020 Journal of Discrete Mathematical Sciences and Cryptography Vol. 23 Issue 6 Article Cited by 6 Quartile

Abstract

Let G(V, E) be a graph. Throughout this paper, we use the notions of edge irregular total k-labeling and total edge irregularity strength of G (tes (G)). We verify tes of general uniform cactus chain graphs (Figure presented.) having (n - 2)r pendant vertices and length r. The result obtained is as follows: (Figure presented.) for n ≥ 6. © 2020 Taru Publications.

Affiliations

Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Negeri Semarang, Semarang, Indonesia; Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Negeri Semarang, Semarang, Indonesia; Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Negeri Semarang, Semarang, Indonesia; Faculty of Mathematics and Natural Sciences, Universitas Sebelas Maret, Surakarta, Indonesia