DHD谜题

IF 0.7 4区数学

Discrete Mathematics and Theoretical Computer Science Pub Date : 2020-04-22 DOI:10.46298/dmtcs.6332

Sabine Beil

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引用次数: 0

摘要

国际观众在这部作品中，考虑了由带标记边的单位三角形组成的三角形谜题。更准确地说，我们允许的标记单位三角形一方面是计算舒伯特微积分的拼图，另一方面是翻转的K理论拼图。研究这种谜题的动机来自于这样一个事实，即它们对应于一类定向的三角形全填充环配置。给出的主要结果是用Littlewood-Richardson系数表示这些具有固定边界的谜题的数量。

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DHD-puzzles

International audience In this work triangular puzzles that are composed of unit triangles with labelled edges are considered. To be more precise, the labelled unit triangles that we allow are on the one hand the puzzle pieces that compute Schubert calculus and on the other hand the flipped K-theory puzzle piece. The motivation for studying such puzzles comes from the fact that they correspond to a class of oriented triangular fully packed loop configurations. The main result that is presented is an expression for the number of these puzzles with a fixed boundary in terms of Littlewood- Richardson coefficients.

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来源期刊

Discrete Mathematics and Theoretical Computer Science 数学-计算机：软件工程

自引率

14.30%

发文量

期刊介绍： DMTCS is a open access scientic journal that is online since 1998. We are member of the Free Journal Network. Sections of DMTCS Analysis of Algorithms Automata, Logic and Semantics Combinatorics Discrete Algorithms Distributed Computing and Networking Graph Theory.