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» Bidimensionality and geometric graphs
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SODA
2012
ACM
243views Algorithms» more  SODA 2012»
11 years 7 months ago
Bidimensionality and geometric graphs
Bidimensionality theory was introduced by Demaine et al. [JACM 2005 ] as a framework to obtain algorithmic results for hard problems on minor closed graph classes. The theory has ...
Fedor V. Fomin, Daniel Lokshtanov, Saket Saurabh
GD
2004
Springer
13 years 10 months ago
Fast Algorithms for Hard Graph Problems: Bidimensionality, Minors, and Local Treewidth
Abstract. This paper surveys the theory of bidimensional graph problems. We summarize the known combinatorial and algorithmic results of this theory, the foundational Graph Minor r...
Erik D. Demaine, Mohammad Taghi Hajiaghayi
ESA
2009
Springer
159views Algorithms» more  ESA 2009»
13 years 11 months ago
Contraction Bidimensionality: The Accurate Picture
We provide new combinatorial theorems on the structure of graphs that are contained as contractions in graphs of large treewidth. As a consequence of our combinatorial results we u...
Fedor V. Fomin, Petr A. Golovach, Dimitrios M. Thi...
SODA
2010
ACM
261views Algorithms» more  SODA 2010»
14 years 1 months ago
Bidimensionality and Kernels
Bidimensionality theory appears to be a powerful framework in the development of meta-algorithmic techniques. It was introduced by Demaine et al. [J. ACM 2005 ] as a tool to obtai...
Fedor V. Fomin, Daniel Lokshtanov, Saket Saurabh, ...
COMBINATORICA
2008
104views more  COMBINATORICA 2008»
13 years 4 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