Ordering points by linear functionals

DOI10.1006/eujc.1999.0323zbMath0987.52009OpenAlexW2072767456MaRDI QIDQ1964657

Paul H. Edelman

Publication date: 16 June 2002

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

Full work available at URL: https://semanticscholar.org/paper/f1878621587f8a9f96a5fca6dcbc63a16b9b6545

zbMATH Keywords

arrangement of hyperplanesStirling numberscharacteristic polynomialconfigurationmatroid theoryWhitney numberslinear orderingmonotone paths

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Combinatorial aspects of matroids and geometric lattices (05B35)

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Cites Work

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• 2N noncollinear points determine at least 2N directions
• Fiber polytopes
• Facing up to arrangements: face-count formulas for partitions of space by hyperplanes
• Theory of Matroids