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The Rees product of the cubical lattice with the chain

Abstract : We study enumerative and homological properties of the Rees product of the cubical lattice with the chain. We give several explicit formulas for the Möbius function. The last formula is expressed in terms of the permanent of a matrix and is given by a bijective proof.
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Patricia Muldoon, Margaret A. Readdy. The Rees product of the cubical lattice with the chain. 20th Annual International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2008), 2008, Viña del Mar, Chile. pp.571-582. ⟨hal-01185152⟩

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