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Improved bounds for rectangular and guillotine partitions

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Publication:1123613
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DOI10.1016/S0747-7171(89)80042-2zbMath0677.68041MaRDI QIDQ1123613

Si-Qing Zheng, Teofilo F. Gonzalez

Publication date: 1989

Published in: Journal of Symbolic Computation (Search for Journal in Brave)


zbMATH Keywords

computational geometryapproximation algorithmspolynomial time complexityguillotine partitionpartition of rectilinear polygons


Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Computing methodologies and applications (68U99)


Related Items

On optimal guillotine partitions approximating optimal \(d\)-box partitions ⋮ The number of guillotine partitions in \(d\) dimensions ⋮ An approximation algorithm for dissecting a rectangle into rectangles with specified areas ⋮ Cut equivalence of \(d\)-dimensional guillotine partitions ⋮ Orders induced by segments in floorplans and (2-14-3, 3-41-2)-avoiding permutations ⋮ On the number of rectangulations of a planar point set ⋮ EXACT SOLUTIONS OF RECTANGULAR PARTITIONS VIA INTEGER PROGRAMMING



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