Academic Journal

Mutation Cycles from Reddening Sequences.

Bibliographic Details
Title: Mutation Cycles from Reddening Sequences.
Authors: Ervin, Tucker J.1 (AUTHOR) tjervin@crimson.ua.edu, Neville, Scott2 (AUTHOR) nevilles@umich.edu
Source: Annals of Combinatorics. Sep2026, p1-32. 32p.
Subject Terms: *Mutations (Algebra), *Forks, *Directed graphs
Abstract: Given two quivers, each with a reddening sequence, we show how to construct a plethora of mutation cycles. We give several examples, including a generalization of the construction of long mutation cycles in earlier work by the second author. We also give new results on the reddening sequences of certain mutation-acyclic quivers and forks, classifying them in some cases. [ABSTRACT FROM AUTHOR]
Database: Academic Search Index
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  Availability: 0
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DbLabel: Academic Search Index
An: 196783347
RelevancyScore: 1452
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PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 1452.42761230469
IllustrationInfo
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  Label: Title
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  Data: Mutation Cycles from Reddening Sequences.
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  Data: <searchLink fieldCode="AR" term="%22Ervin%2C+Tucker+J%2E%22">Ervin, Tucker J.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> tjervin@crimson.ua.edu</i><br /><searchLink fieldCode="AR" term="%22Neville%2C+Scott%22">Neville, Scott</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> nevilles@umich.edu</i>
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  Data: <searchLink fieldCode="JN" term="%22Annals+of+Combinatorics%22">Annals of Combinatorics</searchLink>. Sep2026, p1-32. 32p.
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  Data: *<searchLink fieldCode="DE" term="%22Mutations+%28Algebra%29%22">Mutations (Algebra)</searchLink><br />*<searchLink fieldCode="DE" term="%22Forks%22">Forks</searchLink><br />*<searchLink fieldCode="DE" term="%22Directed+graphs%22">Directed graphs</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: Given two quivers, each with a reddening sequence, we show how to construct a plethora of mutation cycles. We give several examples, including a generalization of the construction of long mutation cycles in earlier work by the second author. We also give new results on the reddening sequences of certain mutation-acyclic quivers and forks, classifying them in some cases. [ABSTRACT FROM AUTHOR]
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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1007/s00026-026-00849-3
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 32
        StartPage: 1
    Subjects:
      – SubjectFull: Mutations (Algebra)
        Type: general
      – SubjectFull: Forks
        Type: general
      – SubjectFull: Directed graphs
        Type: general
    Titles:
      – TitleFull: Mutation Cycles from Reddening Sequences.
        Type: main
  BibRelationships:
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      – PersonEntity:
          Name:
            NameFull: Ervin, Tucker J.
      – PersonEntity:
          Name:
            NameFull: Neville, Scott
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 07
              M: 09
              Text: Sep2026
              Type: published
              Y: 2026
          Identifiers:
            – Type: issn-print
              Value: 02180006
          Titles:
            – TitleFull: Annals of Combinatorics
              Type: main
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