Algebraic invariants of weighted oriented graphs

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.

This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s10801-021-01058-2

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Work Title Algebraic invariants of weighted oriented graphs
Access
Open Access
Creators
  1. Selvi Beyarslan
  2. Jennifer Biermann
  3. Kuei Nuan Lin
  4. Augustine O’Keefe
License In Copyright (Rights Reserved)
Work Type Article
Publisher
  1. Springer Science and Business Media LLC
Publication Date October 4, 2021
Publisher Identifier (DOI)
  1. 10.1007/s10801-021-01058-2
Source
  1. Journal of Algebraic Combinatorics
Deposited May 27, 2022

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Version 1
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  • Created

    May 27, 2022 16:18 by Scholarly Communications and Copyright

  • Added digraphs-2-1.pdf

    May 27, 2022 16:18 by Scholarly Communications and Copyright

  • Added Creator Selvi Kara

    May 27, 2022 16:18 by Scholarly Communications and Copyright

  • Added Creator Jennifer Biermann

    May 27, 2022 16:18 by Scholarly Communications and Copyright

  • Added Creator Kuei Nuan Lin

    May 27, 2022 16:18 by Scholarly Communications and Copyright

  • Added Creator Augustine O’Keefe

    May 27, 2022 16:18 by Scholarly Communications and Copyright

  • Published

    May 27, 2022 16:18 by Scholarly Communications and Copyright

  • Updated Work Title, Description Show Changes

    July 21, 2022 14:09 by pmk5516

    Work Title
    • Algebraic invariants of weighted oriented graphs
    • ! Algebraic invariants of weighted oriented graphs
    Description
    • <p>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.</p>
    • 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.
  • Renamed Creator Selvi Beyarslan Show Changes

    July 21, 2022 14:09 by pmk5516

    • Selvi Kara
    • Selvi Beyarslan
  • Updated Work Title Show Changes

    May 24, 2023 14:11 by pmk5516

    Work Title
    • ! Algebraic invariants of weighted oriented graphs
    • Algebraic invariants of weighted oriented graphs