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- W2229099062 abstract "A $(q,r)$emph{-tree-coloring} of a graph $G$ is a $q$-coloring of vertices of $G$ such that the subgraph induced by each color class is a forest of maximum degree at most $r.$ An emph{equitable $(q, r)$-tree-coloring} of a graph $G$ is a $(q,r)$-tree-coloring such that the sizes of any two color classes differ by at most one. Let the emph{strong equitable vertex $r$-arboricity} be the minimum $p$ such that $G$ has an equitable $(q, r)$-tree-coloring for every $qgeq p.$ In this paper, we find the exact value for each $va^equiv_2(K_{m,n})$ and $va^equiv_2(K_{l,m,n}).$" @default.
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- W2229099062 date "2015-06-12" @default.
- W2229099062 modified "2023-09-27" @default.
- W2229099062 title "The strong equitable vertex 2-arboricity of complete bipartite and tripartite graphs" @default.
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