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 ...
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...
: 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...
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...