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» On the Queue Number of Planar Graphs
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ORDER
2006
97views more  ORDER 2006»
14 years 9 months ago
Upward Three-Dimensional Grid Drawings of Graphs
A three-dimensional grid drawing of a graph is a placement of the vertices at distinct points with integer coordinates, such that the straight line segments representing the edges ...
Vida Dujmovic, David R. Wood
98
Voted
NETWORKS
2010
14 years 8 months ago
Fixed-parameter tractability results for full-degree spanning tree and its dual
We provide first-time fixed-parameter tractability results for the NP-complete problems Maximum Full-Degree Spanning Tree and Minimum-Vertex Feedback Edge Set. These problems are...
Jiong Guo, Rolf Niedermeier, Sebastian Wernicke
84
Voted
DAM
2007
107views more  DAM 2007»
14 years 9 months ago
Eliminating graphs by means of parallel knock-out schemes
In 1997 Lampert and Slater introduced parallel knock-out schemes, an iterative process on graphs that goes through several rounds. In each round of this process, every vertex elim...
Hajo Broersma, Fedor V. Fomin, Rastislav Kralovic,...
ECCC
2008
122views more  ECCC 2008»
14 years 9 months ago
Every Minor-Closed Property of Sparse Graphs is Testable
Testing a property P of graphs in the bounded degree model is the following computational problem: given a graph G of bounded degree d we should distinguish (with probability 0.9,...
Itai Benjamini, Oded Schramm, Asaf Shapira
FOCS
2009
IEEE
15 years 4 months ago
(Meta) Kernelization
Polynomial time preprocessing to reduce instance size is one of the most commonly deployed heuristics to tackle computationally hard problems. In a parameterized problem, every in...
Hans L. Bodlaender, Fedor V. Fomin, Daniel Lokshta...