Title
Avoiding a giant component
Abstract
Let e, e; e2, e;...; el, el;... be a sequence of ordered pairs of edges chosen uniformly atrandom from the edge set of the complete graph Ks (i.e. we sample with replacement). Thissequence is used to form a graph by choosing at stage i, i ---- 1,..., one edge from el, eti tobe an edge in the graph, where the choice at stage i is based only on the observation of theedges that have appeared by stage i. We show that these choices can be made so that whp the size of the largest component...
Year
DOI
Venue
2001
10.1002/rsa.1019
Random Struct. Algorithms
Keywords
Field
DocType
giant component,complete graph
Discrete mathematics,Strength of a graph,Combinatorics,Line graph,Multigraph,Edge contraction,Cycle graph,Null graph,Mathematics,Complement graph,Path graph
Journal
Volume
Issue
ISSN
19
1
1042-9832
Citations 
PageRank 
References 
26
3.16
1
Authors
2
Name
Order
Citations
PageRank
Tom Bohman125033.01
Alan M. Frieze24837787.00