Mutation Cycles from Reddening Sequences
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.
Authors
- Tucker J. Ervin (ORCID: https://orcid.org/0000-0001-5414-2379)
- Scott Neville (ORCID: https://orcid.org/0000-0003-0649-813X)
Institutions
- University of Alabama (US)
- University of Michigan (US)
Publication Details
- Journal
- Annals of Combinatorics
- Published
- 2026-09-07
- DOI
- https://doi.org/10.1007/s00026-026-00849-3
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- Division of Mathematical Sciences