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

Autor: Dereniowski, Dariusz, Dybizbański, Janusz, Karpiński, Przemysław, Zakrzewski, Michał, Żyliński, Paweł
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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 $\lceil \frac{\deg_G(v)}{2}\rceil + 1$.
Databáze: arXiv