Graded Betti numbers of path ideals of cycles and lines-Reference-Cited by-同舟云学术

Graded Betti numbers of path ideals of cycles and lines

Published:2018-01 Issue:01 Volume:17 Page:1850011
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Alilooee A.¹,Faridi S.²

Affiliation:

1. Department of Mathematics, University of Wisconsin-Stout, Menomonie, WI, USA

2. Department of Mathematics and Statistics, Dalhousie University, Halifax, Nova Scotia, Canada

Abstract

We use purely combinatorial arguments to give a formula to compute all graded Betti numbers of path ideals of paths and cycles. As a consequence, we can give new and short proofs for the known formulas of regularity and projective dimensions of path ideals of paths.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498818500111

Reference6 articles.

1. On the Resolution of Path Ideals of Cycles

2. Path ideals of rooted trees and their graded Betti numbers

3. M-Sequences, Graph Ideals, and Ladder Ideals of Linear Type

4. Algebraic Properties of the Path Ideal of a Tree

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