Generating Random Regular Graphs Quickly

We present a practical algorithm for generating random regular graphs. For all d growing as a small power of n, the d-regular graphs on n vertices are generated approximately uniformly at random, in the sense that all d-regular graphs on n vertices have in the limit the same probability as n → ∞. Th...

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Veröffentlicht in:Combinatorics, probability & computing probability & computing, 1999-07, Vol.8 (4), p.377-396
Hauptverfasser: STEGER, A., WORMALD, N. C.
Format: Artikel
Sprache:eng
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Zusammenfassung:We present a practical algorithm for generating random regular graphs. For all d growing as a small power of n, the d-regular graphs on n vertices are generated approximately uniformly at random, in the sense that all d-regular graphs on n vertices have in the limit the same probability as n → ∞. The expected runtime for these ds is [Oscr ](nd2).
ISSN:0963-5483
1469-2163
DOI:10.1017/S0963548399003867