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Stable structure on safe set problems in vertex-weighted graphs

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Publication:2225416
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DOI10.1016/j.ejc.2020.103211zbMath1458.05097arXiv1909.02718OpenAlexW3081454545MaRDI QIDQ2225416

Shinya Fujita, Boram Park, Tadashi Sakuma

Publication date: 8 February 2021

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.02718


zbMATH Keywords

weighted safe setconnected weighted safe numberconnected weighted safe setweighted safe number


Mathematics Subject Classification ID

Signed and weighted graphs (05C22)


Related Items (2)

A combinatorial branch and bound for the safe set problem ⋮ On the connected safe number of some classes of graphs




Cites Work

  • Unnamed Item
  • Safe set problem on graphs
  • Dominating cliques in chordal graphs
  • Safe sets in graphs: graph classes and structural parameters
  • Safe number and integrity of graphs
  • Approximating connected safe sets in weighted trees
  • Parameterized complexity of safe set
  • On the weighted safe set problem on paths and cycles
  • Safe sets, network majority on weighted trees
  • Contracting chordal graphs and bipartite graphs to paths and trees




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