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The Steiner ratio for the dual normed plane

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Publication:1363707
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DOI10.1016/S0012-365X(96)00080-5zbMath0888.05015MaRDI QIDQ1363707

Peng-Jun Wan, Ronald L. Graham, Ding-Zhu Du

Publication date: 1 June 1998

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


zbMATH Keywords

spanning treeSteiner treepolar bodySteiner ratio


Mathematics Subject Classification ID

Trees (05C05) Extremal problems in graph theory (05C35)




Cites Work

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  • The structure of singularities in \(\Phi\)-minimizing networks in \({\mathbb{R}}^ 2\)
  • The Fermat problem in Minkowski spaces
  • On Steiner ratio conjectures
  • A proof of the Gilbert-Pollak conjecture on the Steiner ratio
  • On Steiner minimal trees with \(L_ p\) distance
  • Minimum Steiner trees in normed planes
  • A tight lower bound for the Steiner ratio in Minkowski planes
  • Reducing the Steiner Problem in a Normed Space
  • Locating the vertices of a steiner tree in an arbitrary metric space
  • On Steiner Minimal Trees with Rectilinear Distance
  • The Rectilinear Steiner Tree Problem is $NP$-Complete
  • The Complexity of Computing Steiner Minimal Trees
  • Steiner Minimal Trees
  • On the Steiner Problem
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