On inclusive distance vertex irregularity strength of small identical copies of star graphs
Faisal Susanto, C N Betistiyan, Ikhsanul Halikin, Kristiana Wijaya · Journal of Physics Conference Series · 2021
Abstract For a simple graphG, an inclusive distance vertex irregulark-labeling ofGis a mapping λ :V (G)→ {1,2,…,k} such that all the vertex-weights are pairwise distinct, where the weight of a vertexv, denoted bywt(v), is the sum of labels of vertices in the close neighborhood of the vertexv. The minimumkfor which the graphGhas an inclusive distance vertex irregulark-labeling is called the inclusive distance vertex irregularity strength ofG, dis^(G) . Here we introduce a new lower bound for dis^(G) and determine the exact value of the inclusive distance vertex irregularity strength for identical copies of star graphs, especially 2Snand 3Sn.