Graphs, hypergraphs, and properads

• Autores: Joachim Kock
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 67, Fasc. 2, 2016, págs. 155-190
• Idioma: inglés
• DOI: 10.1007/s13348-015-0160-0
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• Resumen

  • A categorical formalism for directed graphs is introduced, featuring natural notions of morphisms and subgraphs, and leading to two elementary descriptions of the free-properad monad, first in terms of presheaves on elementary graphs, second in terms of groupoid-enriched hypergraphs.