Geometric quadrangulations of a polygon

Q2 Mathematics

Electronic Notes in Discrete Mathematics Pub Date : 2018-07-01 DOI:10.1016/j.endm.2018.06.011

Atsuhiro Nakamoto , Gen Kawatani, Naoki Matsumoto, Jorge Urrutia

引用次数: 4

Abstract

We deal with a geometric quadrangulation of a polygon P. We define a new notion called “the spirality” of P, which measures how close P is from being a convex polygon. Using the spirality, we describe (1) a condition of P to admit a geometric quadrangulation, and (2) a condition of P guaranteeing that any two geometric quadrangulations on P can be related by a sequence of edge flips.

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多边形的几何四边形

我们处理多边形P的几何四边形。我们定义了一个新的概念，叫做P的“螺旋”，它测量了P离凸多边形有多近。利用螺旋性，我们描述了(1)P允许一个几何四边形的条件，以及(2)P上任意两个几何四边形可以被一系列边翻转联系起来的条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Electronic Notes in Discrete Mathematics Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.30

自引率

0.00%

发文量

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