A generalised Euler-Poincare formula for associahedra

被引：0
|
作者：
Baur, Karin [1 ]
Martin, Paul P. [2 ]
机构：
[1] Karl Franzens Univ Graz, Dept Math & Sci Comp, A-8010 Graz, Austria
[2] Univ Leeds, Dept Pure Math, Leeds LS2 9JT, W Yorkshire, England
来源：
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2019年 / 51卷 / 01期
基金：
英国工程与自然科学研究理事会;
关键词：
ALGEBRAS; TRIANGULATIONS;
D O I：
10.1112/blms.12221
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We derive a formula for the number of flip-equivalence classes of tilings of an n-gon by collections of tiles of shape dictated by an integer partition lambda. The proof uses the Euler-Poincare formula; and the formula itself generalises the Euler-Poincare formula for associahedra.
引用
收藏
页码：181 / 192
页数：12
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