Title
On the connectivity of random subsets of projective spaces
Abstract
It is shown that with probability tending to 1 as r → ∞ a random subset ω r ( n ) of n elements of the projective space PG( r − 1, q ) becomes k -connected when n = r + ( k − 1) log q r + O(1). Furthermore, the cyclic structure of ω r ( n ) is considered, and a similar very sharp threshold for the existence of circuits of length r is found.
Year
DOI
Venue
1999
10.1016/S0012-365X(98)00201-5
Discrete Mathematics
Keywords
Field
DocType
projective space,random subsets
Discrete mathematics,Combinatorics,Correlation,Mathematics,Projective space,Projective test
Journal
Volume
Issue
ISSN
196
1-3
Discrete Mathematics
Citations 
PageRank 
References 
3
0.79
1
Authors
2
Name
Order
Citations
PageRank
Wojciech Kordecki1126.04
Tomasz Łuczak222540.26