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| Format: | Preprint |
| Veröffentlicht: |
2020
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| Online-Zugang: | https://arxiv.org/abs/2012.08772 |
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| _version_ | 1866911778536947712 |
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| author | Grilliette, Will |
| author_facet | Grilliette, Will |
| contents | The simplification of a multigraph into a simple graph can be abstracted to a more general comma category under some common conditions. When using the identity functor, the category of simple objects in a comma category generalizes the functor-structured category. Seated in categorical terms, simplification can be dualized to "antisimplification", which manifests as removal of isolated vertices and loose edges. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2012_08772 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Simplification for Graph-like Objects Grilliette, Will Combinatorics Category Theory 05C20, 05C65, 18A25, 18A40 The simplification of a multigraph into a simple graph can be abstracted to a more general comma category under some common conditions. When using the identity functor, the category of simple objects in a comma category generalizes the functor-structured category. Seated in categorical terms, simplification can be dualized to "antisimplification", which manifests as removal of isolated vertices and loose edges. |
| title | Simplification for Graph-like Objects |
| topic | Combinatorics Category Theory 05C20, 05C65, 18A25, 18A40 |
| url | https://arxiv.org/abs/2012.08772 |