FR-labeling on hybrid partition shell graphs
Aronthung S Odyuo, P. Mercy, Manoj Kumar Patel · 2024
A shell S 1 n,n−3 is a cycle of size n with n − 3 chords on n vertices. A hybrid nonuniform shell is an extension of doublet shell with order m and n where m ≠ n. And by hybrid partition shell S 1 n ,n−3 , S 2 n ,n−3 , . . . , S t n ,r is a graph formed by a set of t-copies of shell of width n partition by a union of λK2. In this paper, we consider an FR-labeling function f*>(αβ), where α and β as its set of vertices and prove that it holds for all hybrid non-uniform shell and hybrid partition shell graphs.