Title | ||
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Cover time of a random graph with a degree sequence II: Allowing vertices of degree two |
Abstract | ||
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AbstractWe study the cover time of a random graph chosen uniformly at random from the set of graphs with vertex set [n] and degree sequence d=dii=1n. In a previous work Abdullah, Cooper, and Frieze, Discrete Math 312 2012, 3146-3163, the asymptotic cover time was obtained under a number of assumptions on d, the most significant being that di ï 3 for all i. Here we replace this assumption by di ï 2. As a corollary, we establish the asymptotic cover time for the 2-core of the emerging giant component of Gn,p. © 2014 Wiley Periodicals, Inc. Random Struct. Alg., 45, 627-674, 2014 |
Year | DOI | Venue |
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2014 | 10.1002/rsa.20573 | Periodicals |
Keywords | Field | DocType |
random graphs,emerging giant,cover time | Random regular graph,Discrete mathematics,Combinatorics,Random graph,Vertex (geometry),Random walk,Giant component,Degree (graph theory),Corollary,Mathematics,Frieze | Journal |
Volume | Issue | ISSN |
45 | 4 | 1042-9832 |
Citations | PageRank | References |
0 | 0.34 | 14 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Colin Cooper | 1 | 857 | 91.88 |
Alan M. Frieze | 2 | 4837 | 787.00 |
Eyal Lubetzky | 3 | 355 | 28.87 |