The Total Disjoint Irregularity Strength of a Double and Triple Star Graphs

Combination of the total irregular vertex and the total irregular edge labeling referred to as the total irregular total labeling of is a function : {1,2,3, , } such that for every two different vertices in () and every two different edges in (), their weights are different.Adding a condition where there is no intersection of the vertex-weight set and the edge-weight set, the labeling is called the total disjoint irregular total labeling.In this research, we examined the total irregular total labeling of double star and triple star graphs, which is a class of caterpillar graphs and obtained the exact values of the total disjoint irregularity strength of those graphs corresponding to the lower bound for the total irregularity strength of graph (()).