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Towards minimumk-geodetically connected graphs

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Publication:4804165
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DOI10.1002/net.10060zbMath1014.05022OpenAlexW1499566842MaRDI QIDQ4804165

Ján Plesník

Publication date: 10 April 2003

Published in: Networks (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/net.10060


zbMATH Keywords

geodetic connectivitysurvivable networkdistance invulnerabilityminimum-size graph


Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Distance in graphs (05C12) Connectivity (05C40)


Related Items (4)

Minimumk-geodetically connected digraphs ⋮ Minimum 3-geodetically connected graphs ⋮ Some special minimum \(k\)-geodetically connected graphs ⋮ An efficient distributed algorithm for finding all hinge vertices in networks




Cites Work

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  • The recognition of geodetically connected graphs
  • Disjoint shortest paths in graphs
  • Minimum self-repairing graphs
  • Recognizing hinge-free line graphs and total graphs
  • Design of Communication Networks with Survivability Constraints
  • Minimumk-geodetically connected digraphs
  • Geodetic connectivity of graphs
  • On the hardness of approximating spanners




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