Minimal length maximal green sequences and triangulations of polygons

作者：Cormier E; Dillery P; Resh J; Serhiyenko K^*; Whelan J

来源：Journal of Algebraic Combinatorics, 2016, 44(4): 905-930.

DOI：10.1007/s10801-016-0694-6

• Maximal green sequence
• Cluster algebra
• Surface triangulation

We use combinatorics of quivers and the corresponding surfaces to study maximal green sequences of minimal length for quivers of type . We prove that such sequences have length , where n is the number of vertices and t is the number of 3-cycles in the quiver. Moreover, we develop a procedure that yields these minimal length maximal green sequences.

• 出版日期2016-12