Research output per year
Research output per year
Andrii Arman, Pu Gao, Nicholas Wormald
Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Other
In this paper we provide an algorithm that generates a graph with given degree sequence uniformly at random. Provided that Δ4=O(m), where Δ is the maximal degree and m is the number of edges, the algorithm runs in expected time O(m). Our algorithm significantly improves the previously most efficient uniform sampler, which runs in expected time O(m2Δ2) for the same family of degree sequences. Our method uses a novel ingredient which progressively relaxes restrictions on an object being generated uniformly at random, and we use this to give fast algorithms for uniform sampling of graphs with other degree sequences as well. Using the same method, we also obtain algorithms with expected run time which is (i) linear for power-law degree sequences in cases where the previous best was O(n4.081), and (ii) O(nd+d4) for d-regular graphs when d=o(√ n), where the previous best was O(nd3).
Original language | English |
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Title of host publication | Proceedings - 2019 IEEE 60th Annual Symposium on Foundations of Computer Science, FOCS 2019 |
Subtitle of host publication | 60th IEEE Annual Symposium on Foundations of Computer Science, FOCS 2019; Baltimore; United States; 9 November 2019 through 12 November 2019 |
Place of Publication | Piscataway NJ USA |
Publisher | IEEE Computer Society |
Pages | 1371-1379 |
Number of pages | 9 |
ISBN (Electronic) | 9781728149523, 9781728149530 |
DOIs | |
Publication status | Published - 20 Jan 2020 |
Event | IEEE Annual Symposium on Foundations of Computer Science, 2019 - Baltimore, United States of America Duration: 9 Nov 2019 → 12 Nov 2019 Conference number: 60th |
Name | Proceedings - Annual IEEE Symposium on Foundations of Computer Science, FOCS |
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Volume | 2019-November |
ISSN (Print) | 0272-5428 |
Conference | IEEE Annual Symposium on Foundations of Computer Science, 2019 |
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Abbreviated title | FOCS 2019 |
Country | United States of America |
City | Baltimore |
Period | 9/11/19 → 12/11/19 |
Research output: Contribution to journal › Article › Research › peer-review