Matchings and Radon transforms in lattices II. Concordant sets

DOI10.1017/S0305004100066573zbMath0626.06008OpenAlexW2144864143MaRDI QIDQ3029055

Joseph P. S. Kung

Publication date: 1987

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100066573

zbMATH Keywords

Möbius functionincidence matrixmatchingsemimodular latticesfinite latticeDilworth's covering theoremfinite Radon transformconcordant subsetscovering inequality

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Semimodular lattices, geometric lattices (06C10) Structure theory of lattices (06B05) Modular lattices, Desarguesian lattices (06C05)

Related Items

Matchings In Three Catalan Lattices, Consistent dually semimodular lattices, Generalized discrete Radon transforms and their use in the ridgelet transform, On the lines-planes inequality for matroids, Matchings and Radon transforms in lattices. I: Consistent lattices

Cites Work

• Counting formulas for glued lattices
• Matchings and Radon transforms in lattices. I: Consistent lattices
• Combinatorial inequalities for semimodular lattices of breadth two
• The Radon transforms of a combinatorial geometry, I
• Proof of a conjecture on finite modular lattices
• Whitney Number Inequalities for Geometric Lattices
• On the Foundations of Combinatorial Theory. VII: Symmetric Functions through the Theory of Distribution and Occupancy
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]