English

Universal slices of the category of graphs

Combinatorics 2023-10-06 v1 Category Theory

Abstract

We characterise the slices of the category of graphs that are algebraically universal in terms of the structure of the slicing graph. In particular, we show that algebraic universality is obtained if, and only if, the slicing graph contains one of four fixed graphs as a subgraph.

Keywords

Cite

@article{arxiv.2310.03207,
  title  = {Universal slices of the category of graphs},
  author = {Ioannis Eleftheriadis},
  journal= {arXiv preprint arXiv:2310.03207},
  year   = {2023}
}

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12 pages