Corry  Corazon Marzuki, Fitri  Aryani, Abdussakir  , Ramadana  Fitri, Fitria  Nia Gianita, 
    On the Total Irregularity Strength of M-Copy Cycles and M-Copy Paths,
    Research Journal of Applied Sciences,
    Volume 13,Issue 10,
    2018,
    Pages 582-586,
    ISSN 1815-932x,
    rjasci.2018.582.586,
    (https://makhillpublications.co/view-article.php?doi=rjasci.2018.582.586)
    Abstract: Let G = (V, E) be a graph. A totally irregular total k-labeling f: VUE6{1, 2, ..., k} of a graph G is a total labeling such that for any different vertices x and y of G, their weights wt. (x) and wt. (y) are distinct and for any different edges x<sub>1</sub>x<sub>2</sub> and y<sub>1</sub>y<sub>2</sub> of G, their weights wt. (x<sub>1</sub>x<sub>2</sub>) and wt (y<sub>1</sub>y<sub>2</sub>) are distinct. The weight wt (x) of a vertex x is the sum of the label of x and the labels of all edges incident with x. The weight wt. (x<sub>1</sub>x<sub>2</sub>) of an edge x<sub>1</sub>x<sub>2</sub> is the sum of the label of edge x<sub>1</sub> x<sub>2</sub> and the labels of vertices x<sub>1</sub> and x<sub>2</sub>. The minimum k for which a graph G has a totally irregular total k-labeling is called the total irregularity strength of G, denoted by ts(G). In this study, we determine the total irregularity strength of M-copy cycles and M-copy paths.
    Keywords: M-copy cycles;total irregularity strength;Totally irregular total k-labeling;M-copy paths;weight;irregular