The 2-distance sum distinguishing total colorings for middle graphs of some special classes of graphs
To further study the problem of 2-distance sum distinguishing total coloring,according to the structural properties of middle graphs,by constructing coloring functions and taking advantage of the methods of combinatorial analysis,the 2-distance sum distinguishing total chromatic numbers for middle graphs of path,cycle,star,fan,wheel,double star and wheel-ring graph are obtained.
total coloring2-distance sum distinguishing total coloringmiddle graphs