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Let G = (V, E) be a planar triangulated graph (PTG) having every facetriangular. A rectilinear dual or an orthogonal floor plan (OFP) of G isobtained by partitioning a rectangle into \mid V \mid rectilinear regions(modules) where two modules are adjacent if and only if there is an edgebetween the corresponding vertices in G. In this paper, a linear-time algorithmis presented for constructing an OFP for a given G such that the obtained OFPhas B_{min} bends, where a bend in a concave corner in an OFP. Further, it hasbeen proved that at least B_{min} bends are required to construct an OFP for G,where \rho - 2 \leq B_{min} \leq \rho + 1 and \rho is the sum of the number ofleaves of the containment tree of G and the number of K_4 (4-vertex completegraph) in G.

A linear time algorithm for constructing orthogonal floor plans with minimum number of bends