New results on production matrices for geometric graphs

Q2 Mathematics

Electronic Notes in Discrete Mathematics Pub Date : 2018-07-01 DOI:10.1016/j.endm.2018.06.037

Guillermo Esteban, Clemens Huemer, Rodrigo I. Silveira

引用次数: 0

Abstract

We present novel production matrices for non-crossing partitions, connected geometric graphs, and k-angulations, which provide another way of counting the number of such objects. For instance, a formula for the number of connected geometric graphs with given root degree, drawn on a set of n points in convex position in the plane, is presented. Further, we find the characteristic polynomials and we provide a characterization of the eigenvectors of the production matrices.

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几何图的生成矩阵的新结果

我们提出了新的非交叉分区、连通几何图和k-角的生产矩阵，它提供了另一种计算此类对象数量的方法。例如，给出了在平面凸位置的n个点的集合上绘制具有给定根次的连通几何图的个数的公式。进一步，我们找到了特征多项式，并提供了生产矩阵的特征向量的表征。

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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