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» On Kramer-Mesner matrix partitioning conjecture
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59
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DM
2010
97views more  DM 2010»
14 years 11 months ago
On Kramer-Mesner matrix partitioning conjecture
In 1977, Ganter and Teirlinck proved that any 2t
Yoomi Rho
81
Voted
COMBINATORICS
2002
87views more  COMBINATORICS 2002»
14 years 10 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
83
Voted
JCT
2007
99views more  JCT 2007»
14 years 10 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»
14 years 2 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»
14 years 10 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...