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First kind weak total chromatic numbers of graphs \(C_m\vee F_n\), \(C_m\vee W_n\) and \(C_m\vee C_n\). (Chinese. English summary) Zbl 1313.05137
Summary: This paper provides programs about the colorings of cycles and fans, cycles and wheels, and cycles and cycles: (1) for \(C_m\vee F_n\), \(\chi_{fwt}(C_m\vee F_n)=m+n+1\), (2) for \(C_m\vee W_n\), \(\chi_{fwt}(C_m\vee W_n)=m+n+1\), (3) for \(C_m\vee C_n\), \(\chi_{fwt}(C_m\vee C_n)=m+n\). We also give the proof of these results.
MSC:
05C15 Coloring of graphs and hypergraphs
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