Non-leaving-face property for marked surfaces

被引：2

作者：

Brustle, Thomas ^{[1
]}

Zhang, Jie ^{[2
]}

机构：

[1] Univ Sherbrooke, Dept Math, Sherbrooke, PQ J1K 2R1, Canada

[2] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China

来源：

FRONTIERS OF MATHEMATICS IN CHINA | 2019年 / 14卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Marked surface; non-leaving-face property; exchange graph; 13F60; 13E10; 16G20; CLUSTER ALGEBRAS; ASSOCIAHEDRA; DIAMETER;

D O I：

10.1007/s11464-019-0767-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the polytope arising from a marked surface by flips of triangulations. D. D. Sleator, R. E. Tarjan, and W. P. Thurston [J. Amer. Math. Soc., 1988, 1(3): 647-681] studied the diameter of the associahedron, which is the polytope arising from a marked disc by flips of triangulations. They showed that every shortest path between two vertices in a face does not leave that face. We give a new method, which is different from the one used by V. Disarlo and H. Parlier [arXiv: 1411.4285] to establish the same non-leaving-face property for all unpunctured marked surfaces.

引用

页码：521 / 534

页数：14

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