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FOCS
2003
IEEE
15 years 5 months ago
On the Implementation of Huge Random Objects
We initiate a general study of pseudo-random implementations of huge random objects, and apply it to a few areas in which random objects occur naturally. For example, a random obj...
Oded Goldreich, Shafi Goldwasser, Asaf Nussboim
FOCS
1994
IEEE
15 years 4 months ago
The Power of Team Exploration: Two Robots Can Learn Unlabeled Directed Graphs
We show that two cooperating robots can learn exactly any strongly-connected directed graph with n indistinguishable nodes in expected time polynomial in n. We introduce a new typ...
Michael A. Bender, Donna K. Slonim
FOCS
2008
IEEE
15 years 6 months ago
Noise Tolerance of Expanders and Sublinear Expander Reconstruction
We consider the problem of online sublinear expander reconstruction and its relation to random walks in “noisy” expanders. Given access to an adjacency list representation of ...
Satyen Kale, Yuval Peres, C. Seshadhri
ICRA
1999
IEEE
138views Robotics» more  ICRA 1999»
15 years 4 months ago
Efficient Topological Exploration
We consider the robot exploration of a planar graphlike world. The robot's goal is to build a complete map of its environment. The environment is modeled as an arbitrary undi...
Ioannis M. Rekleitis, Vida Dujmovic, Gregory Dudek
COMPGEOM
2006
ACM
15 years 5 months 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,...