The problem of enumerating zero-one matrices with nonzero row and column sums has arisen recently in an architectural context. The enumeration is required as a parameter in some estimates concerning built forms. Two methods of solution for the problem are given.
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References
1.
BlochC, 1976“The number of minimal gratings and bounding lattices for configurations of weight n”Environment and Planning B371–74
2.
JacksonD M, 1974“Combinatorial problems in non-parametric classification theory” in Proceedings in Computational Statistics Eds BruckmannGFerschlFSchmettererL (Physica Verlag, Vienna)
3.
JacksonD M, Mathematical Methods in Enumerative Combinatorial Theory (provisional title)2 volumes (Academic Press, New York) forthcoming
4.
JacksonD Mvan ReesG H J, 1975“The enumeration of generalised double stochastic nonnegative integer square matrices”Society for Industrial and Applied Mathematics, Journal on Computing4474–477
5.
MarchL, 1976“A boolean description of a class of built forms” in The Architecture of Form Ed. MarchL (Cambridge University Press, London)
6.
RiordanJ, 1958An Introduction to Combinatorial Mathematics (John Wiley, New York)
