Lovasz' Conjecture and Other Applications of Topological Methods in Discrete Mathematics
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909196013797376 |
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| author | Hou, Jingsi Huang, Guangyan Suliman, Sammy Yan, Haoran |
| author_facet | Hou, Jingsi Huang, Guangyan Suliman, Sammy Yan, Haoran |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_05273 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lovasz' Conjecture and Other Applications of Topological Methods in Discrete Mathematics Hou, Jingsi Huang, Guangyan Suliman, Sammy Yan, Haoran History and Overview Combinatorics 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. |
| title | Lovasz' Conjecture and Other Applications of Topological Methods in Discrete Mathematics |
| topic | History and Overview Combinatorics |
| url | https://arxiv.org/abs/2405.05273 |