The Local Antimagic Total Chromatic Number of Some Wheel-Related Graphs

Let G=(V,E) be a connected graph with |V|=n and |E|=m. A bijection f:V(G)∪E(G)→{1,2,⋯,n+m} is called local antimagic total labeling if, for any two adjacent vertices u v, ωt(u)≠ωt(v), where ωt(u)=f(u)+∑e∈E(u)f(e), E(u) the set of edges incident to u. Thus, induces proper coloring G, vertex x in G assigned color ωt(x). The chromatic number, denoted by χlat(G), minimum number colors taken over all colorings induced labelings G. In this paper, we present numbers some wheel-related graphs, such as fan Fn, bowknot Bn,n, Dutch windmill D4n, analogous AD4n flower Fn.