arXiv:0802.2696 Abstract | arXiv Analytics

arXiv:0802.2696 [math.CO]Abstract References Reviews Resources

On Characteristic Polynomials of the Family of Cobweb Posets

Published 2008-02-19Version 1

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.

Comments: 7 pages, 1 figure

Categories: math.CO, cs.DM

Subjects: 06A06, 06A07, 06A11, 11C08, 11B37

Keywords: characteristic polynomials, finite cobweb subposets, finite cobweb posets, recurrence relation defining arbitrary family, charactristic polynomials

Related articles: Most relevant | Search more

arXiv:1910.11823 [math.CO] (Published 2019-10-25)

Snake graphs and their characteristic polynomials

James P. Bradshaw, Philipp Lampe, Dusan Ziga

arXiv:math/0210458 [math.CO] (Published 2002-10-30)

On intervals in some posets of forests

Frederic Chapoton

arXiv:1109.0668 [math.CO] (Published 2011-09-04, updated 2012-02-26)