Zeros of rank-generating functions of Cohen-Macaulay complexes

DOI10.1016/0012-365X(94)00144-8zbMath0826.05060MaRDI QIDQ1893998

David G. Wagner

Publication date: 26 November 1995

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

zbMATH Keywords

zerosordered setCohen-Macaulay complexesCohen-Macaulay polynomialfalling factorial polynomialrank- generating functionsStirling transformation

Mathematics Subject Classification ID

Algebraic combinatorics (05E99) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10)

Cites Work

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• The partition polynomial of a finite set system
• Total positivity of Hadamard products
• Enumeration of functions from posets to chains
• Chromatic polynomials and logarithmic concavity
• Unimodal, log-concave and Pólya frequency sequences in combinatorics
• Shellable and Cohen-Macaulay Partially Ordered Sets
• Expansions of Chromatic Polynomials and Log-Concavity
• Roots of the Reliability Polynomials
• Location of Zeros of Chromatic and Related Polynomials of Graphs
• A Generalization of a Theorem of Bôcher
• An introduction to chromatic polynomials
• Ordered structures and partitions
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]