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q-Hook Length Formulas for Signed Labeled Forests
statistic forest q-hook length formula Coxeter groups of types B and D (P w)-partition
2014/6/3
A signed labeled forest is defined as a (plane) forest labeled by {1, 2,..., n} along with minus signs associated to some vertices. Signed labeled forests can be viewed as an extension of signed permu...
A multivariate "inv" hook formula for forests
hook formula forests moulds binary search free quasisymmetric functions Loday-Ronco algebra
2011/9/14
Abstract: Bjoerner and Wachs provided two q-generalizations of Knuth's hook formula counting linear extensions of forests: one involving the major index statistic, and one involving the inversion numb...
Critical Ising Model and Cycle Rooted Spanning Forests: an explicit correspondence
Critical Ising Model Cycle Rooted Spanning Forests explicit correspondence
2011/2/24
Fisher established an explicit correspondence between the 2-dimensional Ising model defined on a graph G and the dimer model defined on a decorated version G of this graph [Fis66]. In this paper, we p...
Critical Ising Model and Cycle Rooted Spanning Forests: an explicit correspondence
Critical Ising Model Cycle Rooted explicit correspondence
2011/3/4
Fisher established an explicit correspondence between the 2-dimensional Ising model defined on a graph G and the dimer model defined on a decorated version G of this graph [Fis66].