Shen, Yufa; Guo, Jun; Xiao, Xin; Tang, Qing Nearly antipodal chromatc number of even paths. (English) Zbl 1265.05247 Ars Comb. 99, 217-224 (2011). Summary: For paths \(P_n\), G. Chartrand, L. Nebeský and P. Zhang [Discuss. Math., Graph Theory 24, No. 1, 5–21 (2004; Zbl 1056.05053)] gave the exact value of \(ac'(P_n)\) for \(n \leq 8\), and showed that \(ac'(P_n) \leq \binom {n-2}{2}+2\) for every positive integer \(n\), where \(ac'(P_n)\) denotes the nearly antipodal chromatic number of \(P_n\). In this paper we determine the exact values of \(ac'(P_n)\) for all even integers \(n \geq 8\). MSC: 05C15 Coloring of graphs and hypergraphs Keywords:radio colorings; nearly antipodal chromatic number; path Citations:Zbl 1056.05053 PDFBibTeX XMLCite \textit{Y. Shen} et al., Ars Comb. 99, 217--224 (2011; Zbl 1265.05247)