Title
Hamilton cycles in 3-out
Abstract
Let G3-out denote the random graph on vertex set [n] in which each vertex chooses three neighbors uniformly at random. Note that G3-out has minimum degree 3 and average degree 6. We prove that the probability that G3-out is Hamiltonian goes to 1 as n tends to infinity. © 2009 Wiley Periodicals, Inc. Random Struct. Alg., 2009
Year
DOI
Venue
2009
10.1002/rsa.v35:4
Random Struct. Algorithms
Keywords
Field
DocType
random graphs,random graph,hamilton cycle
Discrete mathematics,Random regular graph,Combinatorics,Random graph,Vertex (geometry),Hamiltonian (quantum mechanics),struct,Infinity,Degree (graph theory),Mathematics
Journal
Volume
Issue
ISSN
35
4
1042-9832
Citations 
PageRank 
References 
11
0.81
11
Authors
2
Name
Order
Citations
PageRank
Tom Bohman125033.01
Alan M. Frieze24837787.00