Title
The evolution of the min-min random graph process
Abstract
We study the following min-min random graph process G=(G\"0,G\"1,...): the initial state G\"0 is an empty graph on n vertices (n even). Further, G\"M\"+\"1 is obtained from G\"M by choosing a pair {v,w} of distinct vertices of minimum degree uniformly at random among all such pairs in G\"M and adding the edge {v,w}. The process may produce multiple edges. We show that G\"M is asymptotically almost surely disconnected if M@?n, and that for M=(1+t)n, 0
Year
DOI
Venue
2009
10.1016/j.disc.2009.02.015
Discrete Mathematics
Keywords
Field
DocType
giant component,random graph process,connectedness,gamma distribution. keywords: random graph,random graph,connectedne ss,gamma distribution
Discrete mathematics,Combinatorics,Random graph,Bound graph,Vertex (geometry),Giant component,Null graph,Almost surely,Function composition,Multiple edges,Mathematics
Journal
Volume
Issue
ISSN
309
13
Discrete Mathematics
Citations 
PageRank 
References 
0
0.34
14
Authors
2
Name
Order
Citations
PageRank
Amin Coja-Oghlan154347.25
Mihyun Kang216329.18