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meta.yml
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---
fullname: Graph Theory
shortname: graph-theory
organization: coq-community
community: true
travis: true
coqdoc: false
doi: 10.1007/s10817-020-09543-2
synopsis: >-
Graph theory results in Coq and MathComp
description: |-
A library of formalized graph theory results, including various
standard results from the literature (e.g., Menger’s Theorem, Hall’s
Marriage Theorem, and the excluded minor characterization of
treewidth-two graphs) as well as some more recent results arising
from the study of relation algebra within the ERC CoVeCe project
(e.g., soundness and completeness of an axiomatization of graph
isomorphism).
publications:
- pub_url: https://hal.archives-ouvertes.fr/hal-02316859
pub_title: Graph Theory in Coq - Minors, Treewidth, and Isomorphisms
pub_doi: 10.1007/s10817-020-09543-2
- pub_url: https://hal.archives-ouvertes.fr/hal-02333553
pub_title: Completeness of an Axiomatization of Graph Isomorphism via Graph Rewriting in Coq
pub_doi: 10.1145/3372885.3373831
- pub_url: https://hal.archives-ouvertes.fr/hal-01703922
pub_title: A Formal Proof of the Minor-Exclusion Property for Treewidth-Two Graphs
pub_doi: 10.1007/978-3-319-94821-8_11
authors:
- name: Christian Doczkal
initial: true
- name: Damien Pous
initial: true
maintainers:
- name: Christian Doczkal
nickname: chdoc
- name: Damien Pous
nickname: damien-pous
opam-file-maintainer: [email protected]
opam-file-version: dev
license:
fullname: CeCILL-B
identifier: CECILL-B
supported_coq_versions:
text: 8.10 or later (use releases for other Coq versions)
opam: '{(>= "8.10" & < "8.12~") | (= "dev")}'
tested_coq_nix_versions:
- version_or_url: https://github.com/coq/coq-on-cachix/tarball/master
tested_coq_opam_versions:
- version: dev
- version: '8.11'
- version: '8.10'
dependencies:
- opam:
name: coq-mathcomp-ssreflect
version: '{(>= "1.9" & < "1.11~") | (= "dev")}'
name: coq-mathcomp-finmap
version: '{>= "1.4.0"}'
nix: ssreflect
description: |-
[MathComp](https://math-comp.github.io) 1.9.0 or later (`ssreflect` suffices)
namespace: GraphTheory
keywords:
- name: graph theory
- name: minors
- name: treewidth
- name: algebra
categories:
- name: Computer Science/Graph Theory
documentation: |-
## Additional Documentation
Documentation describing the contents of the individual files is available on the [project website](https://perso.ens-lyon.fr/damien.pous/covece/graphs/)
---