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» Lower bounds on the obstacle number of graphs
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COMPGEOM
2003
ACM
14 years 1 months ago
Loops in reeb graphs of 2-manifolds
Given a Morse function over a 2-manifold with or without boundary, the Reeb graph is obtained by contracting the connected components of the level sets to points. We prove tight u...
Kree Cole-McLaughlin, Herbert Edelsbrunner, John H...
ICALP
2004
Springer
14 years 1 months ago
Learning a Hidden Subgraph
We consider the problem of learning a labeled graph from a given family of graphs on n vertices in a model where the only allowed operation is to query whether a set of vertices i...
Noga Alon, Vera Asodi
SIROCCO
2007
13 years 9 months ago
Labeling Schemes with Queries
Recently, quite a few papers studied methods for representing network properties by assigning informative labels to the vertices of a network. Consulting the labels given to any t...
Amos Korman, Shay Kutten
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...
FOCS
2002
IEEE
14 years 24 days ago
Learning a Hidden Matching
We consider the problem of learning a matching (i.e., a graph in which all vertices have degree 0 or 1) in a model where the only allowed operation is to query whether a set of ve...
Noga Alon, Richard Beigel, Simon Kasif, Steven Rud...