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APPROX
2004
Springer
105views Algorithms» more  APPROX 2004»
15 years 10 months ago
Counting Connected Graphs and Hypergraphs via the Probabilistic Method
While it is exponentially unlikely that a sparse random graph or hypergraph is connected, with probability 1 − o(1) such a graph has a “giant component” that, given its numbe...
Amin Coja-Oghlan, Cristopher Moore, Vishal Sanwala...
152
Voted
JGAA
2006
127views more  JGAA 2006»
15 years 5 months ago
A New Algorithm for Finding Minimal Cycle-Breaking Sets of Turns in a Graph
We consider the problem of constructing a minimal cycle-breaking set of turns for a given undirected graph. This problem is important for deadlock-free wormhole routing in compute...
Lev B. Levitin, Mark G. Karpovsky, Mehmet Mustafa,...
MST
2010
98views more  MST 2010»
15 years 3 months ago
Why Almost All k-Colorable Graphs Are Easy to Color
Coloring a k-colorable graph using k colors (k ≥ 3) is a notoriously hard problem. Considering average case analysis allows for better results. In this work we consider the unif...
Amin Coja-Oghlan, Michael Krivelevich, Dan Vilench...
COMBINATORICA
2011
14 years 4 months ago
A local criterion for Tverberg graphs
The topological Tverberg theorem states that for any prime power q and continuous map from a (d + 1)(q − 1)-simplex to Rd , there are q disjoint faces Fi of the simplex whose im...
Alexander Engström
123
Voted
GD
2003
Springer
15 years 10 months ago
Fixed Parameter Algorithms for one-sided crossing minimization Revisited
We exhibit a small problem kernel for the one-sided crossing minimization problem. This problem plays an important role in graph drawing algorithms based on the Sugiyama layering ...
Vida Dujmovic, Henning Fernau, Michael Kaufmann