3 papers
math.CO2014
Gray Codes and Overlap Cycles for Restricted Weight Words
Victoria Horan, Glenn Hurlbert
A Gray code is a listing structure for a set of combinatorial objects such that some consistent (usually minimal) change property is maintained throughout adjacent elements in the…
math.CO2012
Overlap Cycles for Steiner Quadruple Systems
Victoria Horan, Glenn Hurlbert
Steiner quadruple systems are set systems in which every triple is contained in a unique quadruple. It is will known that Steiner quadruple systems of order v, or SQS(v), exist if…
math.CO2012
1-Overlap Cycles for Steiner Triple Systems
Victoria Horan, Glenn Hurlbert
A number of applications of Steiner triple systems (e.g. disk erasure codes) exist that require a special ordering of its blocks. Universal cycles, introduced by Chung, Diaconis, a…