Asymptotics for Incidence Matrix Classes

We define incidence matrices to be zero-one matrices with no zero rows or columns. We are interested in counting incidence matrices with a given number of ones, irrespective of the number of 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 some of these classes as n .

• Type: Journal
• Year: 2006
• Where: COMBINATORICS
• Authors: Peter J. Cameron, Thomas Prellberg, Dudley Stark
• Keywords: Columns, COMBINATORICS 2006, Incidence Matrices, Zero-one Matrices