3 search results - page 1 / 1 » Proof of the oval conjecture for planar partition functions |
65
Voted
EJC
2007
14 years 10 months ago
2007
We prove that the translation plane and the shift plane defined by a planar partition function form an oval pair of projective planes in the sense that the planes share a line pe...
78
Voted
COMBINATORICS
2002
14 years 10 months ago
2002
We consider Kasteleyn and Kasteleyn-Percus matrices, which arise in enumerating matchings of planar graphs, up to matrix operations on their rows and columns. If such a matrix is ...
82
Voted
JCT
2007
14 years 10 months ago
2007
We enumerate lattice paths in the planar integer lattice consisting of positively directed unit vertical and horizontal steps with respect to a specific elliptic weight function. ...