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arXiv · 2410.20137

Low-degree spanning trees of $2$-edge-connected graphs in linear time

Dariusz Dereniowski·Janusz Dybizbański·Przemysław Karpiński·Michał Zakrzewski·Paweł Żyliński
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Abstract

We present a simple linear-time algorithm that finds a spanning tree $T$ of a given $2$-edge-connected graph $G$ such that each vertex $v$ of $T$ has degree at most $\lceil \frac{°_G(v)}{2}\rceil + 1$.

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Dariusz Dereniowski, Janusz Dybizbański, Przemysław Karpiński, Michał Zakrzewski, Paweł Żyliński. 2024-10-26. Low-degree spanning trees of $2$-edge-connected graphs in linear time. https://arxiv.org/abs/2410.20137

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