850 citations
- Indiana University BloomingtonUS8 papers
- California Institute of TechnologyUS3 papers
- Yale UniversityUS3 papers
- AT&T (United States)US2 papers
- CEA DAM Île-de-FranceFR2 papers
- Centre National de la Recherche ScientifiqueFR2 papers
- Indiana University School of Medicine2 papers
- Institute for Scientific InterchangeIT2 papers
- Los Alamos National LaboratoryUS2 papers
- Mitchell InstituteUS2 papers
- Université Paris-SudFR2 papers
- University of California, BerkeleyUS2 papers
Showing 2012 · math.COShow all
3 papers · 2 filters
math.CO2012★ 3 cited
Counting Dyck paths by area and rank
Saul A. Blanco, T. Kyle Petersen
The set of Dyck paths of length inherits a lattice structure from a bijection with the set of noncrossing partitions with the usual partial order. In this paper, we study the…
math.CO2012★ 1 cited
Counting maximal antichains and independent sets
Liviu Ilinca, Jeff Kahn
Answering several questions of Duffus, Frankl and Rödl, we give asymptotics for the logarithms of (i) the number of maximal antichains in the n-dimensional Boolean algebra and (ii)…
math.CO2012★ 1 cited
The interaction of collinear gaps of arbitrary charge in a two dimensional dimer system
Mihai Ciucu
The correlation of gaps in dimer systems was introduced in 1963 by Fisher and Stephenson, who looked at the interaction of two monomers generated by the rigid exclusion of dimers o…