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Asymptotics for incidence matrix classes

Peter Cameron·Thomas Prellberg·Dudley Stark
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Abstract

We define {\em incidence matrices} to be zero-one matrices with no zero rows or columns. A classification of incidence matrices is considered for which conditions of symmetry by transposition, having no repeated rows/columns, or identification by permutation of rows/columns are imposed. We find asymptotics and relationships for the number of matrices with $n$ ones in these classes as $n\to\infty$.

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Peter Cameron, Thomas Prellberg, Dudley Stark. 2006-04-04. Asymptotics for incidence matrix classes. https://arxiv.org/abs/math/0510155

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