Geodesic
Finite representation of classes of isomorphic groupoids
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 8 (2015) no. 3, pp. 312-319

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We consider an alternative representation of finite groupoids in the form of hypergraphs with three-vertex edges. Automorphism classes of vertices and edges of this hypergraphs are linearly ordered by a natural indexing algorithm based on a maxi-code for three-dimensional adjacency matrix of the hypergraph. With respect of this indexing is constructed a finite set description for the classes of isomorphic groupoids.
Keywords: hypergraphs
Mots-clés : finite groupoids, automorphism classes of groupoid elements. 
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     author = {Maxim N. Nazarov},
     title = {Finite representation of classes of isomorphic groupoids},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {312--319},
     publisher = {mathdoc},
     volume = {8},
     number = {3},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2015_8_3_a6/}
}
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Maxim N. Nazarov. Finite representation of classes of isomorphic groupoids. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 8 (2015) no. 3, pp. 312-319. http://geodesic.mathdoc.fr/item/JSFU_2015_8_3_a6/