A Homotopy Theory for Graphs

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dc.creatorBabson, E.
dc.creatorBarcelo, H.
dc.creatorde Longueville, M.
dc.creatorLaubenbacher, R.
dc.date2004-03-09
dc.date.accessioned2026-07-07T05:06:13Z
dc.date.available2026-07-07T05:06:13Z
dc.descriptionThe recently introduced A-homotopy groups for graphs are investigated. The main concern of the present article is the construction of an infinite cell complex, the homotopy groups of which are isomorphic to the A-homotopy groups of the given graph. We present a natural candidate for such a cell complex, together with a homomorphism between the corresponding groups that indeed yields an isomorphism, if a cubical analog of the simplicial approximation theorem holds, which - so far - we were unable to prove.
dc.description11 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0403146
dc.identifierhttp://arxiv.org/abs/math/0403146
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70396
dc.subjectCombinatorics
dc.subject05C99(Primary), 55Q99 (Secondary)
dc.titleA Homotopy Theory for Graphs
dc.typetext

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