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Uniform generation of random regular graphs
Gao, Pu...

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Uniform generation of random regular graphs by Gao, Pu ( Author )
Lemonjar Open Access
N.A
02-08-2023
We develop a new approach for uniform generation of combinatorial objects, and apply it to derive a uniform sampler REG for d-regular graphs. REG can be implemented such that each graph is generated in expected time O(nd^3), provided that d=o(n^{1/2}). Our result significantly improves the previously best uniform sampler, which works efficiently only when d=O(n^{1/3}), with essentially the same running time for the same d. We also give a linear-time approximate sampler REG*, which generates a random d-regular graph whose distribution differs from the uniform by o(1) in total variation distance, when d=o(n^{1/2}).
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Article
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37.08 KB
English
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MYR 0.01
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http://arxiv.org/abs/1511.01175
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