Multigraded Betti numbers of Möbius domino ideals

Rachelle R. Bouchat; Tricia Muldoon Brown

doi:10.1080/00927872.2021.2005078

Multigraded Betti numbers of Möbius domino ideals

Rachelle R. Bouchat, Tricia Muldoon Brown

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

We enumerate graded Betti numbers of the minimal free resolutions of ideals generated by domino tilings of (Formula presented.) Möbius bands by using combinatorial information from the domino tilings in two ways: first using a splitting function to find a recursive formula and second using a bijection to enumerate in terms of binomial coefficients and Fibonacci numbers.

Original language	English
Pages (from-to)	2269-2278
Number of pages	10
Journal	Communications in Algebra
Volume	50
Issue number	5
DOIs	https://doi.org/10.1080/00927872.2021.2005078
State	Published - 2022

Keywords

Betti numbers
Möbius bands
domino tilings

Access to Document

10.1080/00927872.2021.2005078

Cite this

@article{9977b007b82d4009bc3f5cbfdd4b66be,

title = "Multigraded Betti numbers of M{\"o}bius domino ideals",

abstract = "We enumerate graded Betti numbers of the minimal free resolutions of ideals generated by domino tilings of (Formula presented.) M{\"o}bius bands by using combinatorial information from the domino tilings in two ways: first using a splitting function to find a recursive formula and second using a bijection to enumerate in terms of binomial coefficients and Fibonacci numbers.",

keywords = "Betti numbers, M{\"o}bius bands, domino tilings",

author = "Bouchat, {Rachelle R.} and Brown, {Tricia Muldoon}",

note = "Publisher Copyright: {\textcopyright} 2021 Taylor & Francis Group, LLC.",

year = "2022",

doi = "10.1080/00927872.2021.2005078",

language = "English",

volume = "50",

pages = "2269--2278",

journal = "Communications in Algebra",

issn = "0092-7872",

publisher = "Taylor and Francis Ltd.",

number = "5",

}

TY - JOUR

T1 - Multigraded Betti numbers of Möbius domino ideals

AU - Bouchat, Rachelle R.

AU - Brown, Tricia Muldoon

PY - 2022

Y1 - 2022

N2 - We enumerate graded Betti numbers of the minimal free resolutions of ideals generated by domino tilings of (Formula presented.) Möbius bands by using combinatorial information from the domino tilings in two ways: first using a splitting function to find a recursive formula and second using a bijection to enumerate in terms of binomial coefficients and Fibonacci numbers.

AB - We enumerate graded Betti numbers of the minimal free resolutions of ideals generated by domino tilings of (Formula presented.) Möbius bands by using combinatorial information from the domino tilings in two ways: first using a splitting function to find a recursive formula and second using a bijection to enumerate in terms of binomial coefficients and Fibonacci numbers.

KW - Betti numbers

KW - Möbius bands

KW - domino tilings

UR - http://www.scopus.com/inward/record.url?scp=85120071133&partnerID=8YFLogxK

U2 - 10.1080/00927872.2021.2005078

DO - 10.1080/00927872.2021.2005078

M3 - Article

AN - SCOPUS:85120071133

SN - 0092-7872

VL - 50

SP - 2269

EP - 2278

JO - Communications in Algebra

JF - Communications in Algebra

IS - 5

ER -

Multigraded Betti numbers of Möbius domino ideals

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this