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» The metamathematics of random graphs
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FOCS
2000
IEEE
15 years 6 months ago
On the Hardness of Graph Isomorphism
We show that the graph isomorphism problem is hard under DLOGTIME uniform AC0 many-one reductions for the complexity classes NL, PL (probabilistic logarithmic space) for every loga...
Jacobo Torán
ICASSP
2010
IEEE
15 years 2 months ago
Toward signal processing theory for graphs and non-Euclidean data
Graphs are canonical examples of high-dimensional non-Euclidean data sets, and are emerging as a common data structure in many fields. While there are many algorithms to analyze ...
Benjamin A. Miller, Nadya T. Bliss, Patrick J. Wol...
ALT
2007
Springer
15 years 11 months ago
Learning and Verifying Graphs Using Queries with a Focus on Edge Counting
We consider the problem of learning and verifying hidden graphs and their properties given query access to the graphs. We analyze various queries (edge detection, edge counting, sh...
Lev Reyzin, Nikhil Srivastava
100
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FOCS
1994
IEEE
15 years 6 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
SDM
2008
SIAM
138views Data Mining» more  SDM 2008»
15 years 3 months ago
Clustering from Constraint Graphs
In constrained clustering it is common to model the pairwise constraints as edges on the graph of observations. Using results from graph theory, we analyze such constraint graphs ...
Ari Freund, Dan Pelleg, Yossi Richter