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» On Universal Graphs of Minor Closed Families
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FOCS
2008
IEEE
13 years 11 months ago
Embeddings of Topological Graphs: Lossy Invariants, Linearization, and 2-Sums
We study the properties of embeddings, multicommodity flows, and sparse cuts in minor-closed families of graphs which are also closed under 2-sums; this includes planar graphs, g...
Amit Chakrabarti, Alexander Jaffe, James R. Lee, J...
GD
2003
Springer
13 years 10 months ago
Track Drawings of Graphs with Constant Queue Number
A k-track drawing is a crossing-free 3D straight-line drawing of a graph G on a set of k parallel lines called tracks. The minimum value of k for which G admits a k-track drawing ...
Emilio Di Giacomo, Henk Meijer
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
APPROX
2011
Springer
249views Algorithms» more  APPROX 2011»
12 years 4 months ago
A Canonical Form for Testing Boolean Function Properties
In a well-known result Goldreich and Trevisan (2003) showed that every testable graph property has a “canonical” tester in which a set of vertices is selected at random and the...
Dana Dachman-Soled, Rocco A. Servedio
JSYML
2010
120views more  JSYML 2010»
12 years 11 months ago
First order properties on nowhere dense structures
A set A of vertices of a graph G is called d-scattered in G if no two d-neighborhoods of (distinct) vertices of A intersect. In other words, A is d-scattered if no two distinct ver...
Jaroslav Nesetril, Patrice Ossona de Mendez