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On Characteristic Polynomials of the Family of Cobweb Posets

Combinatorics 2008-02-21 v1 Discrete Mathematics

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.

Keywords

Cite

@article{arxiv.0802.2696,
  title  = {On Characteristic Polynomials of the Family of Cobweb Posets},
  author = {Ewa Krot-Sieniawska},
  journal= {arXiv preprint arXiv:0802.2696},
  year   = {2008}
}

Comments

7 pages, 1 figure