Applications of quotient posets

DOI10.1016/j.disc.2016.11.019zbMath1360.06002arXiv1411.3022OpenAlexW1871731788MaRDI QIDQ507510

Joshua W. Hallam

Publication date: 6 February 2017

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.3022

zbMATH Keywords

Möbius functioncharacteristic polynomialfactorizationcrosscut-simplicial latticequotient poset

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Combinatorial aspects of matroids and geometric lattices (05B35) Structure theory of lattices (06B05)

Related Items (4)

The first higher Stasheff-Tamari orders are quotients of the higher Bruhat orders ⋮ Inductive and divisional posets ⋮ Factoring the characteristic polynomial of a lattice ⋮ The Whitney duals of a graded poset

Cites Work

• Factoring the characteristic polynomial of a lattice
• Möbius functions of lattices
• Crosscut-simplicial lattices
• Character formulas for the operad of two compatible brackets and for the bi-Hamiltonian operad
• \(SB\)-labelings and posets with each interval homotopy equivalent to a sphere or a ball
• Cambrian lattices.
• Problems of associativity: a simple proof for the lattice property of systems ordered by a semi-associative law
• Supersolvable lattices
• On the (co)homology of the poset of weighted partitions
• Problèmes d'associativité: Une structure de treillis finis induite par une loi demi-associative
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]

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