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Universal slices of the category of graphs (2310.03207v1)
Published 4 Oct 2023 in math.CO and math.CT
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.
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