几何图的生成矩阵的新结果

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

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引用次数: 0

摘要

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。

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New results on production matrices for geometric graphs

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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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

期刊介绍： Electronic Notes in Discrete Mathematics is a venue for the rapid electronic publication of the proceedings of conferences, of lecture notes, monographs and other similar material for which quick publication is appropriate. Organizers of conferences whose proceedings appear in Electronic Notes in Discrete Mathematics, and authors of other material appearing as a volume in the series are allowed to make hard copies of the relevant volume for limited distribution. For example, conference proceedings may be distributed to participants at the meeting, and lecture notes can be distributed to those taking a course based on the material in the volume.

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