3 papers
math.CO2025
Long mutation cycles
Sergey Fomin, Scott Neville
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 , w…
math.CO2025
Introduction to Cluster Algebras. Chapter 7
Sergey Fomin, Lauren Williams, Andrei Zelevinsky
This is a preliminary draft of Chapter 7 of our forthcoming textbook "Introduction to Cluster Algebras." Chapters 1-3 have been posted as arXiv:1608.05735. Chapters 4-5 have been p…
math.CO2024
Introduction to Cluster Algebras. Chapters 1-3
Sergey Fomin, Lauren Williams, Andrei Zelevinsky
This is a preliminary draft of Chapters 1-3 of our forthcoming textbook "Introduction to Cluster Algebras." This installment contains: Chapter 1. Total positivity Chapter 2. Mutati…