Graphs, hypergraphs, and properads

Joachim Kock

doi:10.1007/s13348-015-0160-0

Graphs, hypergraphs, and properads

Joachim Kock^*

^*Corresponding author af dette arbejde

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

Abstract

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.

Originalsprog	Engelsk
Tidsskrift	Collectanea Mathematica
Vol/bind	67
Udgave nummer	2
Sider (fra-til)	155-190
Antal sider	36
ISSN	0010-0757
DOI	https://doi.org/10.1007/s13348-015-0160-0
Status	Udgivet - maj 2016
Udgivet eksternt	Ja

Adgang til dokumentet

10.1007/s13348-015-0160-0

Citationsformater

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title = "Graphs, hypergraphs, and properads",

abstract = "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.",

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AB - 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.

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KW - GROUPOIDS

U2 - 10.1007/s13348-015-0160-0

DO - 10.1007/s13348-015-0160-0

M3 - Journal article

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JO - Collectanea Mathematica

JF - Collectanea Mathematica

SN - 0010-0757

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