Special Cases of the Minimum Spanning Tree Problem under Explorable Edge and Vertex Uncertainty
November 28, 2022 Β· Declared Dead Β· π Networks
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Authors
Corinna Mathwieser, Eranda Cela
arXiv ID
2211.15611
Category
cs.DS: Data Structures & Algorithms
Cross-listed
cs.DM,
math.OC
Citations
4
Venue
Networks
Last Checked
4 months ago
Abstract
This article studies the Minimum Spanning Tree Problem under Explorable Uncertainty as well as a related vertex uncertainty version of the problem. We particularly consider special instance types, including cactus graphs, for which we provide randomized algorithms. We introduce the problem of finding a minimum weight spanning star under uncertainty for which we show that no algorithm can achieve constant competitive ratio.
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