Title
Plane overpartitions and cylindric partitions
Abstract
Generating functions for plane overpartitions are obtained using various methods such as nonintersecting paths, RSK type algorithms and symmetric functions. We extend some of the generating functions to cylindric partitions. Also, we show that plane overpartitions correspond to certain domino tilings and we give some basic properties of this correspondence.
Year
DOI
Venue
2011
10.1016/j.jcta.2010.12.001
J. Comb. Theory, Ser. A
Keywords
Field
DocType
generating function,basic property,cylindric partition,symmetric functions,symmetric function,cylindric partitions,rsk type algorithm,nonintersecting path,plane overpartitions,rsk algorithm,certain domino tilings,various method,nonintersecting paths,domino tiling
Generating function,Discrete mathematics,Symmetric function,Robinson–Schensted–Knuth correspondence,Combinatorics,Domino,Mathematics
Journal
Volume
Issue
ISSN
118
4
Journal of Combinatorial Theory, Series A
Citations 
PageRank 
References 
1
0.48
5
Authors
3
Name
Order
Citations
PageRank
Sylvie Corteel126636.33
Cyrille Savelief210.48
Mirjana Vuletić310.48