On permanents and the zeros of rook polynomials

DOI10.1016/0097-3165(76)90068-6zbMath0342.05005OpenAlexW2026125573MaRDI QIDQ1231910

Albert Nijenhuis

Publication date: 1976

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(76)90068-6

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Determinants, permanents, traces, other special matrix functions (15A15) Other designs, configurations (05B30) Polynomials (11S05)

Related Items

Q-counting rook configurations and a formula of Frobenius, A unified approach to polynomial sequences with only real zeros, Permanents, max algebra and optimal assignment, Geometria combinatoria e geometrie finite, The partition polynomial of a finite set system, On operators on polynomials preserving real-rootedness and the Neggers-Stanley conjecture, Expansions of Chromatic Polynomials and Log-Concavity, Combinatorial analysis. (Matrix problems, choice theory), The Holens-Đoković conjecture on permanents fails!, Further investigation involving rook polynomials with only real zeros

Cites Work

• Unnamed Item
• Unnamed Item
• Rook theory. V: Rook polynomials, Möbius inversion and the umbral calculus
• Theory of monomer-dimer systems