Title
Note on Sparse Random Graphs and Cover Graphs
Abstract
It is shown in this note that with high probability it is enough to destroy all triangles in order to get a cover graph from a random graph Gn;p with p logn=n for any constant <2=3. On the other hand, this is not true for somewhat higher densities: If p (logn)3=(n log logn )w ith >1= 8t hen with high probability we need to delete more edges than one from every triangle.
Year
Venue
Keywords
2000
Electronic Journal of Combinatorics
cover graph,poset proposed running head: sparse cover graphs,our result has a natural algorithmic interpretation. keywords: random graph
Field
DocType
Volume
Block graph,Random regular graph,Discrete mathematics,Combinatorics,Line graph,Random graph,Forbidden graph characterization,Universal graph,Mathematics,Planar graph,Complement graph
Journal
7
Citations 
PageRank 
References 
3
0.41
3
Authors
4
Name
Order
Citations
PageRank
Tom Bohman125033.01
Alan M. Frieze24837787.00
M. Ruszinkó323035.16
Lubos Thoma4425.34