Embedding a Forest in a Graph

Details Embedding a Forest in a Graph Embedding a Forest in a Graph

2010-11-17

arxiv.org/abs/1011.3882v1

Mathematics

Combinatorics

Working paper, submitted

Scientific paper

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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