Embedding degenerate graphs of small bandwidth

Choongbum Lee

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arXiv · 1501.05350

Embedding degenerate graphs of small bandwidth

Choongbum Lee

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Abstract

We develop a tool for embedding almost spanning degenerate graphs of small bandwidth. As an application, we extend the blow-up lemma to degenerate graphs of small bandwidth, the bandwidth theorem to degenerate graphs, and make progress on a conjecture of Burr and Erdős on Ramsey number of degenerate graphs.

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Choongbum Lee. 2015-01-24. Embedding degenerate graphs of small bandwidth. https://arxiv.org/abs/1501.05350

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