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GD
2003
Springer
15 years 2 months ago
Three-Dimensional Grid Drawings with Sub-quadratic Volume
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
CORR
2010
Springer
179views Education» more  CORR 2010»
14 years 7 months ago
The DMM bound: multivariate (aggregate) separation bounds
In this paper we derive aggregate separation bounds, named after Davenport-MahlerMignotte (DMM), on the isolated roots of polynomial systems, specifically on the minimum distance ...
Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsig...
COMBINATORICS
2007
55views more  COMBINATORICS 2007»
14 years 9 months ago
Clusters in a Multigraph with Elevated Density
In this paper, we prove that in a multigraph whose density Γ exceeds the maximum vertex degree ∆, the collection of minimal clusters (maximally dense sets of vertices) is cycle...
Mark K. Goldberg
JCSS
2006
52views more  JCSS 2006»
14 years 9 months ago
LWPP and WPP are not uniformly gap-definable
Resolving an issue open since Fenner, Fortnow, and Kurtz raised it in [FFK94], we prove that LWPP is not uniformly gap-definable and that WPP is not uniformly gap-definable. We do...
Holger Spakowski, Rahul Tripathi
ICALP
2009
Springer
15 years 10 months ago
SDP-Based Algorithms for Maximum Independent Set Problems on Hypergraphs
Abstract. This paper deals with approximations of maximum independent sets in non-uniform hypergraphs of low degree. We obtain the first performance ratio that is sublinear in term...
Elena Losievskaja, Geir Agnarsson, Magnús M...