In this work, we try to enunciate the Total chromatic number of some Cayley graphs like the Cayley graph on Symmetric group, Alternating group, Dihedral group with respect to some generating sets and some other regular graphs.

翻译：在这项工作中,我们尝试对一些Cayley图表的总色数进行解释,如关于对称组、变换组、分组的Cayley图表,以及一些生成组和一些其他常规图表的Cayley图表。