On Characteristic Polynomials of the Family of Cobweb Posets

2008/02/19 by Ewa Krot-Sieniawska, Krot-Sieniawska, Ewa · 3 citations
Mathematics · #06A06 #06A07 #06A11 #11B37 #11C08 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic structures and combinatorial models #Combinatorics (math.CO) #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.0802.2696

openalex publication_date 2008/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This note is a response to one of problems posed by A.K. Kwasniewski in one of his recent papers. Namely for the sequence of finite cobweb subposets, the looked for explicit formulas for corresponding sequence of characteristic polynomials are discovered and delivered here. The recurrence relation defining arbitrary family of charactristic polynomials of finite cobweb posets is also derived.

Cited by

• On cobweb posets most relevant codings
• Reduced Incidence algebras description of cobweb posets and KoDAGs
• On incidence algebras description of cobweb posets

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