Minimal length maximal green sequences and triangulations of polygons

被引：4

作者：

Cormier, E. ^{[1
]}

Dillery, P. ^{[2
]}

Resh, J. ^{[3
]}

Serhiyenko, K. ^{[4
]}

Whelan, J. ^{[5
]}

机构：

[1] Dept Math, Bowdoin Coll, Brunswick, ME 04011 USA

[2] Univ Virginia, Dept Math, Charlottesville, VA 22904 USA

[3] Roger Williams Univ, Dept Math, Bristol, RI 02809 USA

[4] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

[5] Vassar Coll, Dept Math, Poughkeepsie, NY 12604 USA

来源：

JOURNAL OF ALGEBRAIC COMBINATORICS | 2016年 / 44卷 / 04期

基金：

美国国家科学基金会;

关键词：

Maximal green sequence; Cluster algebra; Surface triangulation; CLUSTER ALGEBRAS; QUIVERS;

D O I：

10.1007/s10801-016-0694-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：905 / 930

页数：26

共 50 条

[1] Minimal length maximal green sequences and triangulations of polygons
E. Cormier
P. Dillery
J. Resh
K. Serhiyenko
J. Whelan
[J]. Journal of Algebraic Combinatorics, 2016, 44 : 905 - 930
[2] Minimal length maximal green sequences
Garver, Alexander
McConville, Thomas
Serhiyenko, Khrystyna
[J]. ADVANCES IN APPLIED MATHEMATICS, 2018, 96 : 76 - 138
[3] On Minimal Triangulations of Products of Convex Polygons
Bucher-Karlsson, Michelle
[J]. DISCRETE & COMPUTATIONAL GEOMETRY, 2009, 41 (02) : 328 - 347
[4] On Minimal Triangulations of Products of Convex Polygons
Michelle Bucher-Karlsson
[J]. Discrete & Computational Geometry, 2009, 41 : 328 - 347
[5] On maximal green sequences in abelian length categories
Liu, Siyang
Li, Fang
[J]. JOURNAL OF ALGEBRA, 2021, 580 : 399 - 422
[6] On Maximal Green Sequences
Bruestle, Thomas
Dupont, Gregoire
Perotin, Matthieu
[J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2014, 2014 (16) : 4547 - 4586
[7] Orbit-maximal green sequences and general-maximal green sequences
Ahmad, Diana
Li, Fang
[J]. Italian Journal of Pure and Applied Mathematics, 2020, 44 : 470 - 482
[8] Acute Triangulations of Polygons
Liping Yuan
[J]. Discrete & Computational Geometry, 2005, 34 : 697 - 706
[9] Acute Triangulations of Polygons
Ileana Streinu
[J]. Discrete & Computational Geometry, 2005, 34 (4) : 587 - 635
[10] Orbit-maximal green sequences and general-maximal green sequences
Ahmad, Diana
Li, Fang
[J]. ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2020, (44): : 483 - 498

← 1 2 3 4 5 →