THe largest eigenvalue of sparse random graphs

dc.creatorKrivelevich, Michael
dc.creatorSudakov, Benny
dc.date2001-06-10
dc.date.accessioned2026-07-07T04:42:04Z
dc.date.available2026-07-07T04:42:04Z
dc.descriptionWe prove that for all values of the edge probability p(n) the largest eigenvalue of a random graph G(n,p) satisfies almost surely: λ_1(G)=(1+o(1))max{\sqrtΔ,np}, where Δis a maximal degree of G, and the o(1) term tends to zero as max{\sqrtΔ,np} tends to infinity.
dc.identifierhttps://arxiv.org/abs/math/0106066
dc.identifierhttp://arxiv.org/abs/math/0106066
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61618
dc.subjectCombinatorics
dc.subjectProbability
dc.subject05C80 (Primary) 15A52, 60B** (Secondary)
dc.titleTHe largest eigenvalue of sparse random graphs
dc.typetext

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