Algebraic invariants of weighted oriented graphs

Selvi Kara; Jennifer Biermann; Kuei Nuan Lin; Augustine O’Keefe

doi:10.1007/s10801-021-01058-2

Algebraic invariants of weighted oriented graphs

Selvi Kara, Jennifer Biermann, Kuei Nuan Lin, Augustine O’Keefe

Penn State Greater Allegheny

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

8 Scopus citations

Abstract

Let D be a weighted oriented graph and let I(D) be its edge ideal in a polynomial ring R. We give the formula of Castelnuovo–Mumford regularity of R/ I(D) when D is a weighted oriented path or cycle such that edges of D are oriented in one direction. Additionally, we compute the projective dimension for this class of graphs.

Original language	English (US)
Pages (from-to)	461-491
Number of pages	31
Journal	Journal of Algebraic Combinatorics
Volume	55
Issue number	2
DOIs	https://doi.org/10.1007/s10801-021-01058-2
State	Published - Mar 2022

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Discrete Mathematics and Combinatorics

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10.1007/s10801-021-01058-2

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abstract = "Let D be a weighted oriented graph and let I(D) be its edge ideal in a polynomial ring R. We give the formula of Castelnuovo–Mumford regularity of R/ I(D) when D is a weighted oriented path or cycle such that edges of D are oriented in one direction. Additionally, we compute the projective dimension for this class of graphs.",

author = "Selvi Kara and Jennifer Biermann and Lin, {Kuei Nuan} and Augustine O{\textquoteright}Keefe",

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N2 - Let D be a weighted oriented graph and let I(D) be its edge ideal in a polynomial ring R. We give the formula of Castelnuovo–Mumford regularity of R/ I(D) when D is a weighted oriented path or cycle such that edges of D are oriented in one direction. Additionally, we compute the projective dimension for this class of graphs.

AB - Let D be a weighted oriented graph and let I(D) be its edge ideal in a polynomial ring R. We give the formula of Castelnuovo–Mumford regularity of R/ I(D) when D is a weighted oriented path or cycle such that edges of D are oriented in one direction. Additionally, we compute the projective dimension for this class of graphs.

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Algebraic invariants of weighted oriented graphs

Abstract

All Science Journal Classification (ASJC) codes

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