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COMPGEOM
2009
ACM
14 years 24 days ago
On grids in topological graphs
A topological graph is a graph drawn in the plane with vertices represented by points and edges as arcs connecting its vertices. A k-grid in a topological graph is a pair of edge ...
Eyal Ackerman, Jacob Fox, János Pach, Andre...
JGT
2007
81views more  JGT 2007»
13 years 6 months ago
Pathwidth of outerplanar graphs
We are interested in the relation between the pathwidth of a biconnected outerplanar graph and the pathwidth of its (geometric) dual. Bodlaender and Fomin [3], after having proved...
David Coudert, Florian Huc, Jean-Sébastien ...
ECAI
2004
Springer
13 years 10 months ago
Lakatos-Style Automated Theorem Modification
We describe a flexible approach to automated reasoning, where non-theorems can be automatically altered to produce proved results which are related to the original. This is achieve...
Simon Colton, Alison Pease
STOC
2006
ACM
132views Algorithms» more  STOC 2006»
14 years 6 months ago
Near-optimal algorithms for unique games
Unique games are constraint satisfaction problems that can be viewed as a generalization of Max-Cut to a larger domain size. The Unique Games Conjecture states that it is hard to ...
Moses Charikar, Konstantin Makarychev, Yury Makary...
SIAMDM
2010
138views more  SIAMDM 2010»
13 years 4 months ago
The Last Fraction of a Fractional Conjecture
Reed conjectured that for every ε > 0 and every integer ∆, there exists g such that the fractional total chromatic number of every graph with maximum degree ∆ and girth at...
Frantisek Kardos, Daniel Král', Jean-S&eacu...