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Unimodal, log-concave and Pólya frequency sequences in combinatorics


About this Title

Francesco Brenti

Publication: Memoirs of the American Mathematical Society
Publication Year 1989: Volume 81, Number 413
ISBNs: 978-0-8218-2476-4 (print); 978-1-4704-0836-7 (online)
DOI: http://dx.doi.org/10.1090/memo/0413
MathSciNet review: 963833
MSC (1991): Primary 05A15; Secondary 05A10, 05A20

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Table of Contents


Chapters

  • 1. The poset conjecture
  • 2. A general theory
  • 3. Ramifications of the general theory
  • 4. Polynomials in $\mathrm {PF}[(\begin {smallmatrix}x+d-i\\d\end {smallmatrix})]$
  • 5. Applications to the poset conjecture
  • 6. Applications to enumerative combinatorics
  • 7. Pólya frequency digraphs

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