79 citations · 203 across the 36 of their papers we have counts for
4 papers · 1 filter
Pebbling in Split Graphs
Liliana Alcón, Marisa Gutierrez, Glenn Hurlbert
Graph pebbling is a network optimization model for transporting discrete resources that are consumed in transit: the movement of two pebbles across an edge consumes one of the pebb…
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…
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…
Universal Cycles for Weak Orders
Victoria Horan, Glenn Hurlbert
Universal cycles are generalizations of de Bruijn cycles and Gray codes that were introduced originally by Chung, Diaconis, and Graham in 1990. They have been developed by many aut…