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arXiv · 0708.0202

Regular spanning subgraphs of bipartite graphs of high minimum degree

Béla Csaba
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Abstract

Let G be a simple balanced bipartite graph on $2n$ vertices, $δ= δ(G)/n$, and $ρ={δ+ \sqrt{2 δ-1} \over 2}$. If $δ> 1/2$ then it has a $\lfloor ρn \rfloor$-regular spanning subgraph. The statement is nearly tight.

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Béla Csaba. 2007-10-13. Regular spanning subgraphs of bipartite graphs of high minimum degree. https://arxiv.org/abs/0708.0202

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