Asymptotic enumeration of incidence matrices

Peter Cameron*, Thomas Prellberg, Dudley Stark

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

We discuss the problem of counting incidence matrices, i.e. zero-one matrices with no zero rows or columns. Using different approaches we give three different proofs for the leading asymptotics for the number of matrices with n ones as n → . We also give refined results for the asymptotic number of i × j incidence matrices with n ones.

Original languageEnglish
Article number007
Pages (from-to)59-70
Number of pages12
JournalJournal of Physics: Conference Series
Volume42
Issue number1
DOIs
Publication statusPublished - 1 Jul 2006

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