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Many sparse cuts via higher eigenvalues

symposium on the theory of computing, (2012): 1131-1140

Cited: 77|Views45
EI

Abstract

Cheeger's fundamental inequality states that any edge-weighted graph has a vertex subset S such that its expansion (a.k.a. conductance) is bounded as follows: [ φ(S) def= (w(S,bar{S}))/(min set(w(S), w(bar(S)))) ≤ √(2 λ2) ] where w is the total edge weight of a subset or a cut and λ2 is the second smallest eigenvalue of the normalized Lap...More

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