洛瓦兹猜想和离散数学中拓扑方法的其他应用

arXiv - MATH - History and Overview Pub Date : 2024-05-01 DOI:arxiv-2405.05273

Jingsi Hou, Guangyan Huang, Sammy Suliman, Haoran Yan

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引用次数: 0

摘要

在 20 世纪的数学领域，拓扑学涉及几何对象在连续变换下的属性，它在离散数学研究中的应用令人惊讶，如组合学、图论和理论计算机科学。在本文中，我们试图向非专业人士介绍相关的拓扑概念，并选取一些现有的应用于离散数学中的定理。

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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Lovasz' Conjecture and Other Applications of Topological Methods in Discrete Mathematics

In 20th century mathematics, the field of topology, which concerns the properties of geometric objects under continuous transformation, has proved surprisingly useful in application to the study of discrete mathematics, such as combinatorics, graph theory, and theoretical computer science. In this paper, we seek to provide an introduction to the relevant topological concepts to non-specialists, as well as a selection of some existing applications to theorems in discrete mathematics.

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arXiv - MATH - History and Overview

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