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

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 $$\lceil \frac{\deg _G(v)}{2}\rceil + 1$$ .

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Publication Details

Journal
Journal of Combinatorial Optimization
Published
2025-10-25
DOI
https://doi.org/10.1007/s10878-025-01368-2
Primary Topic
Interconnection Networks and Systems
Type
article
Field-Weighted Citation Impact
0.00

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article

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

Paweł Żyliński, Dariusz Dereniowski, Janusz Dybizbański, Przemysław Karpiński et al.
Journal of Combinatorial Optimization
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article

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

Paweł Żyliński, Dariusz Dereniowski, Janusz Dybizbański, Przemysław Karpiński, Michał Zakrzewski
article en

Abstract

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 $$\lceil \frac{\deg _G(v)}{2}\rceil + 1$$ .

Journal of Combinatorial OptimizationVol. 50(4)
Gdańsk University of Technology (PL), University of Gdańsk (PL), Intel (Poland) (PL)
Intel Corporation
Openalex Percentile: Top 64%
Interconnection Networks and Systems
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