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COMGEO
2012
ACM
13 years 5 months ago
Algorithms for the edge-width of an embedded graph
Let G be an unweighted graph of complexity n embedded in a surface of genus g, orientable or not. We describe improved algorithms to compute a shortest non-contractible and a shor...
Sergio Cabello, Éric Colin de Verdiè...
75
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IWPEC
2009
Springer
15 years 4 months ago
Pareto Complexity of Two-Parameter FPT Problems: A Case Study for Partial Vertex Cover
We describe a framework for expressing the complexity of algorithms for FPT problems with two separate parameters k, m and with exponential time bounds O∗ (xk ym ) where x, y &g...
Peter Damaschke
ISAAC
2004
Springer
141views Algorithms» more  ISAAC 2004»
15 years 2 months ago
Weighted Coloring on Planar, Bipartite and Split Graphs: Complexity and Improved Approximation
We study complexity and approximation of min weighted node coloring in planar, bipartite and split graphs. We show that this problem is NP-complete in planar graphs, even if they a...
Jérôme Monnot, Vangelis Th. Paschos, ...
CORR
2010
Springer
137views Education» more  CORR 2010»
14 years 9 months ago
Local algorithms in (weakly) coloured graphs
A local algorithm is a distributed algorithm that completes after a constant number of synchronous communication rounds. We present local approximation algorithms for the minimum ...
Matti Åstrand, Valentin Polishchuk, Joel Ryb...
MST
2010
86views more  MST 2010»
14 years 4 months ago
Fixed-Parameter Enumerability of Cluster Editing and Related Problems
Cluster Editing is transforming a graph by at most k edge insertions or deletions into a disjoint union of cliques. This problem is fixed-parameter tractable (FPT). Here we comput...
Peter Damaschke