Graphs, hypergraphs, and properads

Research output: Contribution to journal › Journal article › Research › peer-review

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Graphs, hypergraphs, and properads. / Kock, Joachim.

In: Collectanea Mathematica, Vol. 67, No. 2, 05.2016, p. 155-190.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Kock, J 2016, 'Graphs, hypergraphs, and properads', Collectanea Mathematica, vol. 67, no. 2, pp. 155-190. https://doi.org/10.1007/s13348-015-0160-0

APA

Kock, J. (2016). Graphs, hypergraphs, and properads. Collectanea Mathematica, 67(2), 155-190. https://doi.org/10.1007/s13348-015-0160-0

Vancouver

Kock J. Graphs, hypergraphs, and properads. Collectanea Mathematica. 2016 May;67(2):155-190. https://doi.org/10.1007/s13348-015-0160-0

Author

Kock, Joachim. / Graphs, hypergraphs, and properads. In: Collectanea Mathematica. 2016 ; Vol. 67, No. 2. pp. 155-190.

Bibtex

@article{9e81944438b643838a32a4914e01ad4d,
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.",
keywords = "KOSZUL DUALITY, GROUPOIDS",
author = "Joachim Kock",
year = "2016",
month = may,
doi = "10.1007/s13348-015-0160-0",
language = "English",
volume = "67",
pages = "155--190",
journal = "Collectanea Mathematica",
issn = "0010-0757",
publisher = "Springer",
number = "2",

}

RIS

TY - JOUR

T1 - Graphs, hypergraphs, and properads

AU - Kock, Joachim

PY - 2016/5

Y1 - 2016/5

N2 - 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.

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.

KW - KOSZUL DUALITY

KW - GROUPOIDS

U2 - 10.1007/s13348-015-0160-0

DO - 10.1007/s13348-015-0160-0

M3 - Journal article

VL - 67

SP - 155

EP - 190

JO - Collectanea Mathematica

JF - Collectanea Mathematica

SN - 0010-0757

IS - 2

ER -

ID: 331498815