Journal of Lanzhou University of Technology

Journal of Lanzhou University of Technology ›› 2024, Vol. 50 ›› Issue (3): 156-161.

• Scientific • Previous Articles     Next Articles

The 2-distance sum distinguishing total colorings for middle graphs of some special classes of graphs

WANG Tong-xin1, YANG Chao1,2, YAO Bing3   

  1. 1. School of Mathematics, Physics and Statistics, Shanghai University of Engineering Science, Shanghai 201620, China;
    2. Center of Intelligent Computing and Applied Statistics, Shanghai University of Engineering Science, Shanghai 201620, China;
    3. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
  • Received:2022-07-21 Online:2024-06-28 Published:2024-07-02

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Abstract: 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.

Key words: total coloring, 2-distance sum distinguishing total coloring, middle graphs

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