Low-degree spanning trees of $2$-edge-connected graphs in linear time
Dariusz Dereniowski, Janusz Dybizbański, Przemysław Karpiński, M·2024-10-26·via cs.DS updates on arXiv.org
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 $\lceil \frac{°_G(v)}{2}\rceil + 1$.