The expected genus of a random chord diagram

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dc.creatorLinial, Nathan
dc.creatorNowik, Tahl
dc.date2009-04-28
dc.date.accessioned2026-07-07T13:09:24Z
dc.date.available2026-07-07T13:09:24Z
dc.descriptionTo any generic curve in an oriented surface there corresponds an oriented chord diagram, and any oriented chord diagram may be realized by a curve in some oriented surface. The genus of an oriented chord diagram is the minimal genus of an oriented surface in which it may be realized. Let g_n denote the expected genus of a randomly chosen oriented chord diagram of order n. We show that g_n satisfies: g_n = n/2 - Theta(ln n).
dc.identifierhttps://arxiv.org/abs/0904.4361
dc.identifierhttp://arxiv.org/abs/0904.4361
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228721
dc.subjectGeometric Topology
dc.subjectCombinatorics
dc.titleThe expected genus of a random chord diagram
dc.typetext

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