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Reducing graph parameters by contractions and deletions

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Publication:6119833
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DOI10.1007/s00453-023-01141-zarXiv2210.10503OpenAlexW4383652941MaRDI QIDQ6119833

F. Mann, Felicia Lucke

Publication date: 25 March 2024

Published in: Algorithmica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.10503

zbMATH Keywords

independence numberchromatic numberclique numberedge contractionvertex deletionedge deletionblocker problems


Mathematics Subject Classification ID

Algorithms in computer science (68Wxx) Graph theory (05Cxx)




Cites Work

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  • Blockers for the stability number and the chromatic number
  • Blockers and transversals
  • Complement reducible graphs
  • Contraction and deletion blockers for perfect graphs and \(H\)-free graphs
  • Blocking total dominating sets via edge contractions
  • Reducing the domination number of \(( P_3 + k P_2 )\)-free graphs via one edge contraction
  • Reducing the chromatic number by vertex or edge deletions
  • Reducing the Clique and Chromatic Number via Edge Contractions and Vertex Deletions
  • Deleting vertices to bound path length
  • The pathwidth and treewidth of cographs
  • Algorithms for Minimum Coloring, Maximum Clique, Minimum Covering by Cliques, and Maximum Independent Set of a Chordal Graph
  • Intersection of longest paths in graph classes
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