Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Wu et al. (Discret Math 313:2696–2701, 2013) conjectured that the vertex set of any simple graph G can be equitably partitioned into m subsets so that each subset induces a forest, where \(\Delta (G)\) is the maximum degree of G and m is an integer with \(m\ge \lceil \frac{\Delta (G)+1}{2}\rceil \). This conjecture is verified for 5-degenerate graphs in this paper.
['Guantao Chen', 'Yuping Gao', 'Songling Shan', 'Guanghui Wang', 'Jian-Liang Wu']
I am writing a research paper on a idea Equitable vertex arboricity of 5-degenerate graphs
[{"from": "human", "value": "I am writing a research paper on a idea Equitable vertex arboricity of 5-degenerate graphs"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Wu et al. (Discret Math 313:2696\u20132701, 2013) conjectured that the vertex set of any simple graph G can be equitably partitioned into m subsets so that each subset induces a forest, where \\(\\Delta (G)\\) is the maximum degree of G and m is an integer with \\(m\\ge \\lceil \\frac{\\Delta (G)+1}{2}\\rceil \\). This conjecture is verified for 5-degenerate graphs in this paper."}]