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arXiv · 1011.3882

Embedding a Forest in a Graph

Mark Goldberg·Malik Magdon-Ismail
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Abstract

For \math{p\ge 1}, we prove that every forest with \math{p} trees whose sizes are $a_1,..., a_p$ can be embedded in any graph containing at least $\sum_{i=1}^p (a_i + 1)$ vertices and having a minimum degree at least $\sum_{i=1}^p a_i$.

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Mark Goldberg, Malik Magdon-Ismail. 2010-11-17. Embedding a Forest in a Graph. https://arxiv.org/abs/1011.3882

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