Academic Journal
Long mutation cycles.
| Τίτλος: | Long mutation cycles. |
|---|---|
| Συγγραφείς: | Fomin, Sergey1 (AUTHOR) fomin@umich.edu, Neville, Scott1 (AUTHOR) nevilles@umich.edu |
| Πηγή: | Selecta Mathematica, New Series. Nov2025, Vol. 31 Issue 5, p1-44. 44p. |
| Θεματικοί όροι: | *Graph theory, *Mutations (Algebra), *Directed graphs, *Genetic mutation, *Mathematics, *Combinatorics |
| Περίληψη: | A mutation cycle is a cycle in a graph whose vertices are labeled by the quivers in a given mutation class and whose edges correspond to single mutations. For any fixed n ≥ 4 , we describe arbitrarily long mutation cycles involving n-vertex quivers. Each of these mutation cycles allows for an arbitrary choice of n 2 positive integer parameters. None of the mutation cycles we construct can be paved by short mutation cycles. [ABSTRACT FROM AUTHOR] |
| Βάση Δεδομένων: | Academic Search Index |
| FullText | Text: Availability: 0 |
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| Header | DbId: asx DbLabel: Academic Search Index An: 189055191 RelevancyScore: 1393 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 1393.09326171875 |
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| Items | – Name: Title Label: Title Group: Ti Data: Long mutation cycles. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Fomin%2C+Sergey%22">Fomin, Sergey</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> fomin@umich.edu</i><br /><searchLink fieldCode="AR" term="%22Neville%2C+Scott%22">Neville, Scott</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> nevilles@umich.edu</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Selecta+Mathematica%2C+New+Series%22">Selecta Mathematica, New Series</searchLink>. Nov2025, Vol. 31 Issue 5, p1-44. 44p. – Name: Subject Label: Subject Terms Group: Su Data: *<searchLink fieldCode="DE" term="%22Graph+theory%22">Graph theory</searchLink><br />*<searchLink fieldCode="DE" term="%22Mutations+%28Algebra%29%22">Mutations (Algebra)</searchLink><br />*<searchLink fieldCode="DE" term="%22Directed+graphs%22">Directed graphs</searchLink><br />*<searchLink fieldCode="DE" term="%22Genetic+mutation%22">Genetic mutation</searchLink><br />*<searchLink fieldCode="DE" term="%22Mathematics%22">Mathematics</searchLink><br />*<searchLink fieldCode="DE" term="%22Combinatorics%22">Combinatorics</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: A mutation cycle is a cycle in a graph whose vertices are labeled by the quivers in a given mutation class and whose edges correspond to single mutations. For any fixed n ≥ 4 , we describe arbitrarily long mutation cycles involving n-vertex quivers. Each of these mutation cycles allows for an arbitrary choice of n 2 positive integer parameters. None of the mutation cycles we construct can be paved by short mutation cycles. [ABSTRACT FROM AUTHOR] |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=asx&AN=189055191 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s00029-025-01090-1 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 44 StartPage: 1 Subjects: – SubjectFull: Graph theory Type: general – SubjectFull: Mutations (Algebra) Type: general – SubjectFull: Directed graphs Type: general – SubjectFull: Genetic mutation Type: general – SubjectFull: Mathematics Type: general – SubjectFull: Combinatorics Type: general Titles: – TitleFull: Long mutation cycles. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Fomin, Sergey – PersonEntity: Name: NameFull: Neville, Scott IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 11 Text: Nov2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 10221824 Numbering: – Type: volume Value: 31 – Type: issue Value: 5 Titles: – TitleFull: Selecta Mathematica, New Series Type: main |
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