Colouring simplicial complexes via the the Lechuga-Murillo's model
Colouring simplicial complexes via the the Lechuga-Murillo's model
L. Lechuga and A. Murillo showed that a non-oriented, simple, connected, finite graph G is k-colourable if and only if a certain pure Sullivan algebra associated to G and k is not elliptic. In this paper, we extend this result to simplicial complexes by means of several notions of colourings of these objects.
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Méndez, David
082b86ce-ba78-4519-9713-ff1a38f65c96
Méndez, David
082b86ce-ba78-4519-9713-ff1a38f65c96
Méndez, David
(2016)
Colouring simplicial complexes via the the Lechuga-Murillo's model.
arXiv, .
(In Press)
Abstract
L. Lechuga and A. Murillo showed that a non-oriented, simple, connected, finite graph G is k-colourable if and only if a certain pure Sullivan algebra associated to G and k is not elliptic. In this paper, we extend this result to simplicial complexes by means of several notions of colourings of these objects.
Text
Colouring simplicial complexes via the Lechuga-Murillo's model
- Author's Original
Text
1610.07174v1
- Accepted Manuscript
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Submitted date: 23 October 2016
Accepted/In Press date: 23 October 2016
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Local EPrints ID: 439149
URI: http://eprints.soton.ac.uk/id/eprint/439149
PURE UUID: 1fff9c32-e2ec-4bee-9414-b9c98368a0d0
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Date deposited: 06 Apr 2020 16:30
Last modified: 16 Mar 2024 07:24
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Author:
David Méndez
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