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» New upper bounds on the decomposability of planar graphs
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COMPGEOM
2006
ACM
14 years 21 days ago
Plane embeddings of planar graph metrics
Embedding metrics into constant-dimensional geometric spaces, such as the Euclidean plane, is relatively poorly understood. Motivated by applications in visualization, ad-hoc netw...
MohammadHossein Bateni, Mohammad Taghi Hajiaghayi,...
CVPR
2009
IEEE
15 years 1 months ago
Efficient Planar Graph Cuts with Applications in Computer Vision
We present a fast graph cut algorithm for planar graphs. It is based on the graph theoretical work [2] and leads to an efficient method that we apply on shape matching and im- a...
Daniel Cremers, Eno Töppe, Frank R. Schmidt
ICRA
2002
IEEE
98views Robotics» more  ICRA 2002»
13 years 11 months ago
Sensor-Based Exploration for Convex Bodies: A New Roadmap for a Convex-Shaped Robot
We present a new algorithm that enables a convex shaped robot to explore an unknown planar workspace, i.e., an unknown configuration space diffeomorphic to SE(2). This new algor...
Ji Yeong Lee, Howie Choset
JGT
2008
97views more  JGT 2008»
13 years 6 months ago
On the oriented chromatic index of oriented graphs
A homomorphism from an oriented graph G to an oriented graph H is a mapping from the set of vertices of G to the set of vertices of H such that ----(u)(v) is an arc in H whenever...
Pascal Ochem, Alexandre Pinlou, Eric Sopena
COMBINATORICS
1999
90views more  COMBINATORICS 1999»
13 years 6 months ago
New Bounds for Codes Identifying Vertices in Graphs
Let G = (V, E) be an undirected graph. Let C be a subset of vertices that we shall call a code. For any vertex v V , the neighbouring set N(v, C) is the set of vertices of C at d...
Gérard D. Cohen, Iiro S. Honkala, Antoine L...