Shifting Segments to Optimality

Stefan Felsner ()
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Stefan Felsner: Technische Universität Berlin, Institut für Mathematik

A chapter in Gems of Combinatorial Optimization and Graph Algorithms, 2015, pp 1-12 from Springer

Abstract: Abstract We begin with two problems which do not appear to be related. Then we use the ‘air-pressure’ method to prove a theorem about rectangular dissections with prescribed rectangle areas. A corollary to this theorem characterizes area-universal rectangular dissections. These dissections happen to be central to the solution of the two problems.

Keywords: Planar Graph; Outgoing Edge; Balance Position; Schnyder Wood; Outer Vertex (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-24971-1_1

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DOI: 10.1007/978-3-319-24971-1_1

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