Total irregularity strength of disjoint union of isomorphic copies of generalized Petersen graph
Let [Formula: see text] be a graph. A total labeling [Formula: see text] is called totally irregular total [Formula: see text]-labeling of [Formula: see text] if every two distinct vertices [Formula: see text] and [Formula: see text] in [Formula: see text] satisfy [Formula: see text] and every two distinct edges [Formula: see text] and [Formula: see text] in [Formula: see text] satisfy [Formula: see text] where [Formula: see text] and [Formula: see text] The minimum [Formula: see text] for which a graph [Formula: see text] has a totally irregular total [Formula: see text]-labeling is called the total irregularity strength of [Formula: see text], denoted by [Formula: see text] In this paper, we determined the total irregularity strength of disjoint union of [Formula: see text] isomorphic copies of generalized Petersen graph.