Intrinsic knotting and linking of almost complete partite graphs

dc.creatorMattman, Thomas W.
dc.creatorOttman, Ryan
dc.creatorRodrigues, Matt
dc.date2003-12-09
dc.date2004-08-21
dc.date.accessioned2026-07-07T05:03:41Z
dc.date.available2026-07-07T05:03:41Z
dc.descriptionWe classify graphs that are 0, 1, or 2 edges short of being complete partite graphs with respect to intrinsic linking and intrinsic knotting. In addition, we classify intrinsic knotting of graphs on 8 vertices. For graphs in these families, we verify a conjecture presented in Adams' "The Knot Book": If a vertex is removed from an intrinsically knotted graph, one obtains an intrinsically linked graph.
dc.descriptionv2: 20 pages, 10 figures, substantial expansion of version 1
dc.identifierhttps://arxiv.org/abs/math/0312176
dc.identifierhttp://arxiv.org/abs/math/0312176
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69519
dc.subjectGeometric Topology
dc.subject05C10 (Primary) 57M15 (Secondary)
dc.titleIntrinsic knotting and linking of almost complete partite graphs
dc.typetext

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