Special Cases of the Minimum Spanning Tree Problem under Explorable Edge and Vertex Uncertainty

Corinna Marlene Mathwieser, Eranda Cela

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)587-604
Number of pages18
JournalNetworks
Volume83
Issue number3
Early online date11 Jan 2024
DOIs
Publication statusPublished - Apr 2024

Keywords

  • cs.DS
  • cs.DM
  • math.OC
  • explorable uncertainty
  • randomized algorithms
  • spanning tree
  • cactus graphs
  • online algorithms
  • competitive analysis

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Theoretical Computer Science
  • Information Systems
  • Computer Networks and Communications

Fields of Expertise

  • Information, Communication & Computing

Treatment code (Nähere Zuordnung)

  • Basic - Fundamental (Grundlagenforschung)

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