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arXiv · 1707.00083

Notes on Growing a Tree in a Graph

Luc Devroye·Vida Dujmović·Alan Frieze·Abbas Mehrabian·Pat Morin·Bruce Reed
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Abstract

We study the height of a spanning tree $T$ of a graph $G$ obtained by starting with a single vertex of $G$ and repeatedly selecting, uniformly at random, an edge of $G$ with exactly one endpoint in $T$ and adding this edge to $T$.

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Luc Devroye, Vida Dujmović, Alan Frieze, Abbas Mehrabian, Pat Morin, Bruce Reed. 2017-07-04. Notes on Growing a Tree in a Graph. https://arxiv.org/abs/1707.00083

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