具有正里奇曲率的图的构造

IF 0.6 4区数学 Q3 MATHEMATICS

Kyushu Journal of Mathematics Pub Date : 2018-09-01 DOI:10.2206/kyushujm.74.291

Taiki Yamada

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引用次数: 1

摘要

两个完全图通过添加一些边连接起来。得到的图称为粘接图。我们添加的边越多，它的里奇曲率就越大。计算粘接图上每条边的Ricci曲率，得到使粘接图具有正Ricci曲率的最小边数。

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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A CONSTRUCTION OF GRAPHS WITH POSITIVE RICCI CURVATURE

Two complete graphs are connected by adding some edges. The obtained graph is called the gluing graph. The more we add edges, the larger the Ricci curvature on it becomes. We calculate the Ricci curvature of each edge on the gluing graph and obtain the least number of edges that result in the gluing graph having positive Ricci curvature.

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来源期刊

Kyushu Journal of Mathematics 数学-数学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Kyushu Journal of Mathematics is an academic journal in mathematics, published by the Faculty of Mathematics at Kyushu University since 1941. It publishes selected research papers in pure and applied mathematics. One volume, published each year, consists of two issues, approximately 20 articles and 400 pages in total. More than 500 copies of the journal are distributed through exchange contracts between mathematical journals, and available at many universities, institutes and libraries around the world. The on-line version of the journal is published at "Jstage" (an aggregator for e-journals), where all the articles published by the journal since 1995 are accessible freely through the Internet.