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.
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