Abstract
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 → ∞.
Original language | English |
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Pages (from-to) | 1-19 |
Number of pages | 19 |
Journal | Electronic Journal of Combinatorics |
Volume | 13 |
Issue number | 1 R |
Publication status | Published - 12 Oct 2006 |