ZONAL LABELING OF VERTEX COMB PRODUCT OF GRAPHS
DOI:
https://doi.org/10.25077/jmua.14.3.225-231.2025Keywords:
Zonal Graph, Zonal Labeling, Vertex Comb Product, Tree, Unicyclic, Fan, WheelAbstract
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.
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