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COMGEO
2012
ACM
13 years 7 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...
IWPEC
2009
Springer
15 years 6 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
104
Voted
ISAAC
2004
Springer
141views Algorithms» more  ISAAC 2004»
15 years 5 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, ...
90
Voted
CORR
2010
Springer
137views Education» more  CORR 2010»
14 years 11 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...
101
Voted
MST
2010
86views more  MST 2010»
14 years 6 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