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The transitive minimum Manhattan subnetwork problem in 3 dimensions

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Publication:968145
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DOI10.1016/j.dam.2009.06.025zbMath1226.05098OpenAlexW2044395823MaRDI QIDQ968145

Birgit Engels

Publication date: 5 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.dam.2009.06.025


zbMATH Keywords

grid graphManhattan network1-spanner3 dimensions


Mathematics Subject Classification ID

Network design and communication in computer systems (68M10) Planar graphs; geometric and topological aspects of graph theory (05C10)


Related Items (2)

A connectivity graph generation approach for Manhattan path calculation in detailed facility layout ⋮ The Minimal Manhattan Network Problem in Three Dimensions



Cites Work

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  • Optimization, approximation, and complexity classes
  • The minimum Manhattan network problem: Approximations and exact solutions
  • A rounding algorithm for approximating minimum Manhattan networks
  • The Rectilinear Steiner Tree Problem is $NP$-Complete
  • Algorithms and Computation




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