54 citations · 108 across the 24 of their papers we have counts for
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More constructions for Sperner partition systems
Adam Gowty, Daniel Horsley
An -Sperner partition system is a set of partitions of some -set such that each partition has nonempty parts and no part in any partition is a subset of a part in a d…
Countable homogeneous Steiner triple systems avoiding specified subsystems
Daniel Horsley, Bridget S. Webb
In this article we construct uncountably many new homogeneous locally finite Steiner triple systems of countably infinite order as Fra\"ıssé limits of classes of finite Steiner tri…
An Evans-style result for block designs
Ajani De Vas Gunasekara, Daniel Horsley
For positive integers and with , an -design is a pair where is a set of points and is a collection of -subset…
Novák's conjecture on cyclic Steiner triple systems and its generalization
Tao Feng, Daniel Horsley, Xiaomiao Wang
Novák conjectured in 1974 that for any cyclic Steiner triple systems of order with , it is always possible to choose one block from each block orbit so that…