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JCT
2016
53views more  JCT 2016»
10 years 27 days ago
Littlewood-Richardson rules for symmetric skew quasisymmetric Schur functions
The classical Littlewood-Richardson rule is a rule for computing coefficients in many areas, and comes in many guises. In this paper we prove two Littlewood-Richardson rules for s...
Christine Bessenrodt, Vasu Tewari, Stephanie van W...
JCT
2016
327views more  JCT 2016»
10 years 27 days ago
Computing the partition function for graph homomorphisms with multiplicities
Abstract. We consider a refinement of the partition function of graph homomorphisms and present a quasi-polynomial algorithm to compute it in a certain domain. As a corollary, we ...
Alexander I. Barvinok, Pablo Soberón
JCT
2016
54views more  JCT 2016»
10 years 27 days ago
Double-dimers, the Ising model and the hexahedron recurrence
We define and study a recurrence relation in Z3 , called the hexahedron recurrence, which is similar to the octahedron recurrence (Hirota bilinear difference equation) and cube re...
Richard W. Kenyon, Robin Pemantle
JCT
2016
49views more  JCT 2016»
10 years 27 days ago
Certifying non-representability of matroids over prime fields
It is proved that, for a prime number p, showing that an n-element matroid is not representable over GF(p) requires only O(n2 ) rank evaluations.
Jim Geelen, Geoff Whittle
JCT
2016
46views more  JCT 2016»
10 years 27 days ago
The Newton polygon of a planar singular curve and its subdivision
Let a planar algebraic curve C be defined over a valuation field by an equation F(x, y) = 0. Valuations of the coefficients of F define a subdivision of the Newton polygon ∆ o...
Nikita Kalinin