Title
Random induced graphs
Abstract
Given a monotone graphical property Q, how large should d(n) be to ensure that if (Hn) is any sequence of graphs satisfying |Hn| = n and δ(Hn) ≥ d(n), then almost every induced subgraph of Hn has property Q? We prove essentially best possible results for the following monotone properties: (i) k-connected for fixed k, (ii) Hamiltonian.
Year
DOI
Venue
2002
10.1016/S0012-365X(01)00345-4
Discrete Mathematics
Keywords
Field
DocType
induced subgraph,best possible result,following monotone property,random induced graph,monotone graphical property,property q,fixed k,monotone properties,random induced graphs,satisfiability
Has property,Discrete mathematics,Graph,Combinatorics,Hamiltonian (quantum mechanics),Induced subgraph,Monotone polygon,Mathematics
Journal
Volume
Issue
ISSN
248
1-3
Discrete Mathematics
Citations 
PageRank 
References 
1
0.35
0
Authors
5
Name
Order
Citations
PageRank
B. Bollobas119579.32
P. Erdos210.35
R. J. Faudree317438.15
Cecil C. Rousseau48514.21
R. H. Schelp5609112.27