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COMBINATORICA
2010
13 years 4 months ago
Approximation algorithms via contraction decomposition
We prove that the edges of every graph of bounded (Euler) genus can be partitioned into any prescribed number k of pieces such that contracting any piece results in a graph of bou...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Bojan M...
COCO
2010
Springer
152views Algorithms» more  COCO 2010»
14 years 1 months ago
A Log-Space Algorithm for Reachability in Planar Acyclic Digraphs with Few Sources
Designing algorithms that use logarithmic space for graph reachability problems is fundamental to complexity theory. It is well known that for general directed graphs this problem...
Derrick Stolee, Chris Bourke, N. V. Vinodchandran
ESA
2008
Springer
130views Algorithms» more  ESA 2008»
13 years 11 months ago
Linear Time Planarity Testing and Embedding of Strongly Connected Cyclic Level Graphs
Abstract. A level graph is a directed acyclic graph with a level assignment for each node. Such graphs play a prominent role in graph drawing. They express strict dependencies and ...
Christian Bachmaier, Wolfgang Brunner
TAMC
2010
Springer
13 years 8 months ago
Two-Layer Planarization Parameterized by Feedback Edge Set
Abstract. Given an undirected graph G and an integer k ≥ 0, the NPhard 2-Layer Planarization problem asks whether G can be transformed into a forest of caterpillar trees by remov...
Johannes Uhlmann, Mathias Weller
COMBINATORICA
2008
104views more  COMBINATORICA 2008»
13 years 9 months ago
Linearity of grid minors in treewidth with applications through bidimensionality
We prove that any H-minor-free graph, for a fixed graph H, of treewidth w has an (w)
Erik D. Demaine, MohammadTaghi Hajiaghayi