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Geometrical techniques for estimating numbers of linear extensions

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Publication:1304428
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DOI10.1006/eujc.1999.0299zbMath0941.06006OpenAlexW2057635467MaRDI QIDQ1304428

Béla Bollobás, Alexander Sidorenko, Graham R. Brightwell

Publication date: 7 May 2000

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/eujc.1999.0299


zbMATH Keywords

upper boundcomparability graphlower boundpartial orderpolyhedral combinatoricscomplementnumber of linear extensionstwo-dimensional order


Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07)


Related Items (9)

Geometric inequalities for anti-blocking bodies ⋮ The hull metric on Coxeter groups ⋮ Characterizing isometries on the order polytope with an application to the theory of fuzzy measures ⋮ Effective Poset Inequalities ⋮ Separable elements: linear extensions, graph associahedra, and splittings of Weyl groups ⋮ Separable elements and splittings of Weyl groups ⋮ Adjacency on the order polytope with applications to the theory of fuzzy measures ⋮ Why Is Pi Less Than Twice Phi? ⋮ Bottom-up: a new algorithm to generate random linear extensions of a poset




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