Universal slices of the category of graphs (Q6619674)
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scientific article; zbMATH DE number 7927119
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Universal slices of the category of graphs |
scientific article; zbMATH DE number 7927119 |
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Universal slices of the category of graphs (English)
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16 October 2024
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The notion of algebraic universality was defined by \textit{J. R. Isbell} [Diss. Math. 36, 33 p. (1964; Zbl 0133.26703)] as a generalization of representation results in different categories of structures [\url{https://inmabb.criba.edu.ar/revuma/pdf/v11n4/p155-157.pdf}; \textit{J. de Groot}, Math. Ann. 138, 80--102 (1959; Zbl 0087.37802); \textit{G. Sabidussi}, Monatsh. Math. 64, 64--67 (1960; Zbl 0097.38904)]. This paper characterizes the slices of the category of graphs that are algebraically universal in terms of the structure of the slicing graph.
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graph homomorphisms
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category of graphs
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algebraically universal categories
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slice categories
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