In this paper Combes's (1976) formulae for counting the number of edges in the rectangular dissection of a rectangle are deduced directly through graph-theoretical considerations.
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References
1.
CombesL, 1976“Packing rectangles into rectangular arrangements”Environment and Planning B33–32
2.
FruchtR, 1966“Polinómios análogos a los de Bell para particiones de matrices”Scientia (Valparaiso)32 (130) 67–74
3.
MitchellW JSteadmanJ PLiggettR S, 1976“Synthesis and optimization of small rectangular floor plans”Environment and Planning B337–70
4.
SteadmanJ P, 1973“Graph theoretic representation of architectural arrangement”Architectural Research and Teaching2/3161–172
5.
TutteW TBrooksR LSmithC A BStoneA H, 1940“The dissection of rectangles into squares”Duke Mathematical Journal7312–340
