Cluster-Cyclic Quivers with Three Vertices and the Markov Equation
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2010/01/07
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Indian UGC (journal)
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Refrences12
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Citations16
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Andre Beineke
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Thomas Brüstle
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Lutz Hille
Journal Category
Science
Mathematics
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Mutation Classes of Skew-Symmetric 3 × 3-Matrices | Communications in Algebra |
| 7 | 2008 |
| Cluster algebras II: Finite type classification | Inventiones mathematicae |
| 397 | 2003 |
| 10.1090/S0894-0347-01-00385-X | 2002 | |||
| 10.1007/BF01189130 | Archiv der Mathematik |
| 1990 | |
| 10.1215/S0012-7094-87-05409-3 | Duke Mathematical Journal |
| 1987 |
Refrences Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 4 |
| Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods | 1 |
The category
Science: Mathematics 4
is the most frequently represented among the references in this article. It primarily includes studies from Archiv der Mathematik and Inventiones mathematicae. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Complexity of Ice Quiver Mutation Equivalence | Annals of Combinatorics |
| 2023 | |
| A generalization of Markov Numbers | The Ramanujan Journal |
| 2023 | |
| On the ordering of the Markov numbers | Advances in Applied Mathematics |
| 1 | 2023 |
Mutation-finite quivers with real weights | Forum of Mathematics, Sigma |
| 2023 | |
| Discrete Dynamical Systems From Real Valued Mutation | Experimental Mathematics |
| 1 | 2022 |
Citations Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 15 |
| Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods | 6 |
The category
Science: Mathematics 15
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled The first Hochschild cohomology group of a schurian cluster-tilted algebra and was published in 2008. The most recent citation comes from a 2023 study titled A generalization of Markov Numbers. This article reached its peak citation in 2023, with 4 citations. It has been cited in 16 different journals, 6% of which are open access. Among related journals, the The Ramanujan Journal cited this research the most, with 1 citations. The chart below illustrates the annual citation trends for this article.