23 citations · 140 across the 17 of their papers we have counts for
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math.CO2005
Asymptotic enumeration of incidence matrices
Peter Cameron, Thomas Prellberg, Dudley Stark
We discuss the problem of counting {\em incidence matrices}, i.e. zero-one matrices with no zero rows or columns. Using different approaches we give three different proofs for the…
math.CO2005
Asymptotics for incidence matrix classes
Peter Cameron, Thomas Prellberg, Dudley Stark
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 tr…
cond-mat.stat-mech2005
Cluster Approximation for the Farey Fraction Spin Chain
T. Prellberg, J. Fiala, P. Kleban
We consider the Farey fraction spin chain in an external field . Utilising ideas from dynamical systems, the free energy of the model is derived by means of an effective cluster…