Abstract
The equitable coloring problem, introduced by Meyer in 1973, has received considerable attention and research. Recently, Wu et al. introduced the concept of equitable (t,k)-tree-coloring, which can be viewed as a generalization of proper equitable t-coloring. Wu et al. investigated the strong equitable vertex k-arboricity of complete bipartite graphs. In this paper, we mainly investigate the strong equitable vertex 2-arboricity of complete tripartite graphs.
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