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 |
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