Adjacent strong edge colorings and total colorings of regular graphs

作者:Zhang ZhongFu*; Woodall Douglas R; Yao Bing; Li JingWen; Chen XiangEn; Bian Liang
来源:Science in China Series A-Mathematics, 2009, 52(5): 973-980.
DOI:10.1007/s11425-008-0153-5

摘要

It is conjectured that. chi'(as)(G) = chi(t)(G) for every k-regular graph G with no C(5) component (k >= 2). This conjecture is shown to be true for many classes of graphs, including: graphs of type 1; 2-regular, 3-regular and (vertical bar V(G)vertical bar - 2)-regular graphs; bipartite graphs; balanced complete multipartite graphs; k-cubes; and joins of two matchings or cycles.

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