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3D rectangulations and geometric matrix multiplication

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Publication:1702124
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DOI10.1007/s00453-016-0247-3zbMath1386.68195OpenAlexW2614723287MaRDI QIDQ1702124

Peter Floderus, Dzmitry Sledneu, Christos Levcopoulos, Andrzej Lingas, Jesper Jansson

Publication date: 28 February 2018

Published in: Algorithmica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00453-016-0247-3


zbMATH Keywords

time complexitymatrix multiplicationdecomposition problemorthogonal polyhedronminimum rectangulation


Mathematics Subject Classification ID

Analysis of algorithms (68W40) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Approximation algorithms (68W25)


Related Items (1)

Pushing the online Boolean matrix-vector multiplication conjecture off-line and identifying its easy cases



Cites Work

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  • Rectangular partition is polynomial in two dimensions but NP-complete in three
  • A Combinatorial Algorithm for All-Pairs Shortest Paths in Directed Vertex-Weighted Graphs with Applications to Disc Graphs
  • Finding a manhattan path and related problems
  • Powers of tensors and fast matrix multiplication
  • Algorithms and Data Structures


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