ZONAL LABELING OF VERTEX COMB PRODUCT OF GRAPHS

Amruddin, Mustaqim
Haning, Farly Oktriany
Putra, Ganesha Lapenangga
Pahnael, Jusrry Rosalina

Jurnal Matematika UNAND
Vol. 14 No. 3 (2025)

Suppose there is a connected plane graph G with a set of vertex V (G) and a set of edges E(G) or G = (V,E). A zonal labeling of graph G is vertex labeling with the two nonzero elements of ring Z3 to vertex in graph G such that the sum of the label of the vertices on the boundary of every region of G is the zero elements in Z3. This labeling is zonal and graph G is zonal graph. This paper will discuss zonal labeling on a graph comb product with a graph zonal denoted G. The result states that Fy ⊵o G, T ⊵o G, U ⊵o G a is graph zonal and Wz ⊵o G is not a zonal graph.