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» On Kramer-Mesner matrix partitioning conjecture
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DM
2010
97views more  DM 2010»
13 years 4 months ago
On Kramer-Mesner matrix partitioning conjecture
In 1977, Ganter and Teirlinck proved that any 2t
Yoomi Rho
COMBINATORICS
2002
87views more  COMBINATORICS 2002»
13 years 4 months ago
Kasteleyn Cokernels
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 ...
Greg Kuperberg
JCT
2007
99views more  JCT 2007»
13 years 4 months ago
Independence for partition regular equations
A matrix A is said to be partition regular (PR) over a subset S of the positive integers if whenever S is finitely coloured, there exists a vector x, with all elements in the sam...
Imre Leader, Paul A. Russell
CORR
2011
Springer
215views Education» more  CORR 2011»
12 years 8 months ago
The Bethe Permanent of a Non-Negative Matrix
:  The Bethe Permanent of a Non-Negative Matrix Pascal O. Vontobel HP Laboratories HPL-2011-116 Bethe approximation; Bethe permanent; graph cover; partition function; perfect ma...
Pascal O. Vontobel
JCT
2006
79views more  JCT 2006»
13 years 4 months ago
Reciprocity for multirestricted Stirling numbers
Multirestricted Stirling numbers of the second kind count the number of partitions of a given set into a given number of parts, each part being restricted to at most a fixed number...
Ji Young Choi, Ling Long, Siu-Hung Ng, Jonathan Sm...