A combinatorial $K$-theory perspective on the Edge Reconstruction Conjecture in graph theory
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911006748311552 |
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| author | Calle, Maxine E. Gould, Julian J. |
| author_facet | Calle, Maxine E. Gould, Julian J. |
| contents | We provide a framework for abstract reconstruction problems using the $K$-theory of categories with covering families, which we then apply to reformulate the edge reconstruction conjecture in graph theory. Along the way, we state some fundamental theorems for the $K$-theory of categories with covering families. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_14986 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A combinatorial $K$-theory perspective on the Edge Reconstruction Conjecture in graph theory Calle, Maxine E. Gould, Julian J. K-Theory and Homology Algebraic Topology Combinatorics We provide a framework for abstract reconstruction problems using the $K$-theory of categories with covering families, which we then apply to reformulate the edge reconstruction conjecture in graph theory. Along the way, we state some fundamental theorems for the $K$-theory of categories with covering families. |
| title | A combinatorial $K$-theory perspective on the Edge Reconstruction Conjecture in graph theory |
| topic | K-Theory and Homology Algebraic Topology Combinatorics |
| url | https://arxiv.org/abs/2402.14986 |