Journal of University of Science and Technology of China ›› 2018, Vol. 48 ›› Issue (8): 605-611.DOI: 10.3969/j.issn.0253-2778.2018.08.001

• Original Paper •     Next Articles

On total {k}-domatic number of Cartesian and direct product of graphs

  

  1. LIANG Yong, PEI Lidan2, HU Futao2, HOU Xinmin
  • Received:2017-07-07 Revised:2017-12-01 Accepted:2017-12-01 Online:2018-08-31 Published:2017-12-01
  • Contact: HU Futao
  • About author:LIANG Yong, male, born in 1981, master. Research field: Graph theory. E-mail: Liangy@ mail.ustc.edu.cn
  • Supported by:
    Supported by NNSF of China (11671376, 11401004), Anhui Provincial Natural Science Foundation (1708085MA18).

Abstract: For a positive integer k, the total {k}-dominating function (T{k} DF) of a graph G without isolated vertices is a function f from the vertex set V(G) to

Key words: total {k}-domatic number, Cartesian product, direct product

CLC Number: