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COMGEO
2010
ACM
13 years 7 months ago
Mixed volume techniques for embeddings of Laman graphs
We use Bernstein's Theorem [1] to obtain combinatorial bounds for the number of embeddings of Laman graph frameworks modulo rigid motions. For this, we study the mixed volume...
Reinhard Steffens, Thorsten Theobald
GD
2008
Springer
13 years 8 months ago
Crossing and Weighted Crossing Number of Near-Planar Graphs
A nonplanar graph G is near-planar if it contains an edge e such that G − e is planar. The problem of determining the crossing number of a near-planar graph is exhibited from di...
Sergio Cabello, Bojan Mohar
CORR
2004
Springer
111views Education» more  CORR 2004»
13 years 7 months ago
Layout of Graphs with Bounded Tree-Width
A queue layout of a graph consists of a total order of the vertices, and a partition of the edges into queues, such that no two edges in the same queue are nested. The minimum numb...
Vida Dujmovic, Pat Morin, David R. Wood
CORR
2010
Springer
162views Education» more  CORR 2010»
13 years 4 months ago
Cross-Composition: A New Technique for Kernelization Lower Bounds
We introduce a new technique for proving kernelization lower bounds, called cross-composition. A classical problem L cross-composes into a parameterized problem Q if an instance o...
Hans L. Bodlaender, Bart M. P. Jansen, Stefan Krat...
SIROCCO
2007
13 years 9 months ago
Why Robots Need Maps
Abstract. A large group of autonomous, mobile entities e.g. robots initially placed at some arbitrary node of the graph has to jointly visit all nodes (not necessarily all edges) a...
Miroslaw Dynia, Jakub Lopuszanski, Christian Schin...