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Steiner diameter of 3, 4 and 5-connected maximal planar graphs

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Publication:477352
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DOI10.1016/j.dam.2014.07.007zbMath1303.05042OpenAlexW2091091943MaRDI QIDQ477352

Simon Mukwembi, Patrick Ali, Peter Dankelmann

Publication date: 3 December 2014

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2014.07.007


zbMATH Keywords

distancediameterSteiner distanceSteiner diameter


Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Planar graphs; geometric and topological aspects of graph theory (05C10) Distance in graphs (05C12) Connectivity (05C40)


Related Items (2)

The Steiner \(k\)-Wiener index of graphs with given minimum degree ⋮ Steiner diameter, maximum degree and size of a graph



Cites Work

  • Unnamed Item
  • The Steiner diameter of a graph with prescribed girth
  • Upper bounds on the Steiner diameter of a graph
  • Diameter bounds for planar graphs
  • Largest planar graphs of diameter two and fixed maximum degree
  • Largest planar graphs and largest maximal planar graphs of diameter two
  • The radius of \(k\)-connected planar graphs with bounded faces
  • Maximal planar graphs of diameter two


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