A conjecture on equitable vertex arboricity of graphs

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A conjecture on equitable vertex arboricity of graphs

Wu, Zhang and Li [4] conjectured that the set of vertices of any simple graph G can be equitably partitioned into ⌈(∆(G) + 1)/2⌉ subsets so that each of them induces a forest of G. In this note, we prove this conjecture for graphs G with ∆(G) ≥ |G|/2.

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ژورنال

عنوان ژورنال: Filomat

سال: 2014

ISSN: 0354-5180,2406-0933

DOI: 10.2298/fil1401217z