Nathan Yu

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Quantum cluster algebras were introduced by Berenstein and Zelevinsky [BZ] as the natural deformation of the compatible Poisson structure on cluster algebras [FZ]. The functional equations (" Q-systems ") satisfied [KR, KNS, N] by the characters of Kirillov-Reshetikhin modules of (quantum-) affine algebras can be understood combinatorially in the framework(More)
The Abstract Milling problem is a natural and quite general graph-theoretic model for geometric milling problems. Given a graph, one asks for a walk that covers all its vertices with a minimum number of turns, as specified in the graph model by a 0/1 turncost function fx at each vertex x giving, for each ordered pair of edges (e, f) incident at x, the turn(More)
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