Title
Construction of expanders and superconcentrators using Kolmogorov complexity
Abstract
We show the existence of various versions of expander graphs using Kolmogorov complexity. This method seems superior to the usual probabilistic construction. It turns out that the best known bounds on the size of expanders and superconcentrators can be attained based on this method. In the case of (acyclic) superconcentrators we attain a density of about 34 edges/vertices. Furthermore. related graph properties are reviewed, like magnification, edge-magnification, and isolation, and we develop bounds based on the Kolmogorov approach. (C) 2000 John Wiley & Sons, Inc.
Year
DOI
Venue
2000
3.0.CO;2-3" target="_self" class="small-link-text"10.1002/1098-2418(200008)17:13.0.CO;2-3
Random Struct. Algorithms
Keywords
Field
DocType
kolmogorov complexity,expander graph
Discrete mathematics,Combinatorics,Expander graph,Graph property,Kolmogorov complexity,Vertex (geometry),struct,Probabilistic logic,Kolmogorov structure function,Mathematics
Journal
Volume
Issue
ISSN
17
1
1042-9832
Citations 
PageRank 
References 
2
0.43
0
Authors
1
Name
Order
Citations
PageRank
Uwe Schöning1998105.69