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RSA
2000
104views more  RSA 2000»
15 years 9 days ago
Construction of expanders and superconcentrators using Kolmogorov complexity
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...
Uwe Schöning
CORR
2010
Springer
106views Education» more  CORR 2010»
15 years 19 days ago
Lombardi Drawings of Graphs
We introduce the notion of Lombardi graph drawings, named after the abstract artist Mark Lombardi. In these drawings, edges are represented as circular arcs rather than as line seg...
Christian A. Duncan, David Eppstein, Michael T. Go...
EJC
2006
15 years 17 days ago
3-star factors in random d-regular graphs
The small subgraph conditioning method first appeared when Robinson and the second author showed the almost sure hamiltonicity of random d-regular graphs. Since then it has been u...
Hilda Assiyatun, Nicholas C. Wormald
JGAA
2007
93views more  JGAA 2007»
15 years 13 days ago
Large-Graph Layout Algorithms at Work: An Experimental Study
In the last decade several algorithms that generate straight-line drawings of general large graphs have been invented. In this paper we investigate some of these methods that are ...
Stefan Hachul, Michael Jünger
NETWORKS
2010
14 years 11 months ago
Probabilistic models for the Steiner Tree problem
We consider a probabilistic model for the Steiner Tree problem. Under this model the problem is defined in a 2-stage setting over a first-stage complete weighted graph having it...
Vangelis Th. Paschos, Orestis Telelis, Vassilis Zi...