Rectangular and Orthogonal Floorplans with Required Room Areas and Tree Adjacency

I Rinsma
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I Rinsma: Mathematics Department, University of Canterbury, Christchurch 1, New Zealand

Environment and Planning B, 1988, vol. 15, issue 1, 111-118

Abstract: A rectangular floorplan can always be found to satisfy area requirements for each room and adjacencies between rooms represented by a given tree, T . The branching index and embedding index of a tree are defined. If, further, each room is required to be external, then the existence of a rectangular floorplan is dependent upon the embedding index of T . Orthogonal floorplans in which each room is rectangular or L-shaped are always possible under the same conditions. Extensions to some other nonrectangular floorplans are given.

Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:sae:envirb:v:15:y:1988:i:1:p:111-118

DOI: 10.1068/b150111

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