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» Parameterizing by the Number of Numbers
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GD
2006
Springer
14 years 1 months ago
Planar Decompositions and the Crossing Number of Graphs with an Excluded Minor
Tree decompositions of graphs are of fundamental importance in structural and algorithmic graph theory. Planar decompositions generalise tree decompositions by allowing an arbitrar...
David R. Wood, Jan Arne Telle
OPODIS
2008
13 years 11 months ago
Computing and Updating the Process Number in Trees
The process number is the minimum number of requests that have to be simultaneously disturbed during a routing reconfiguration phase of a connection oriented network. From a graph ...
David Coudert, Florian Huc, Dorian Mazauric
JUCS
2006
114views more  JUCS 2006»
13 years 10 months ago
Pseudorandom Number Generation: Impossibility and Compromise
Abstract: Pseudorandom number generators are widely used in the area of simulation. Defective generators are still widely used in standard library programs, although better pseudor...
Makoto Matsumoto, Mutsuo Saito, Hiroshi Haramoto, ...
SIAMDM
2008
154views more  SIAMDM 2008»
13 years 10 months ago
On the First-Fit Chromatic Number of Graphs
The first-fit chromatic number of a graph is the number of colors needed in the worst case of a greedy coloring. It is also called the Grundy number, which is defined to be the max...
József Balogh, Stephen G. Hartke, Qi Liu, G...
STOC
2005
ACM
115views Algorithms» more  STOC 2005»
14 years 10 months ago
Computing the first Betti number and the connected components of semi-algebraic sets
In this paper we describe the first singly exponential algorithm for computing the first Betti number of a given semi-algebraic set. We also describe algorithms for obtaining semi...
Saugata Basu, Richard Pollack, Marie-Franço...