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FOCS
2000
IEEE
15 years 10 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 6 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...
197
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ALGORITHMICA
2011
15 years 1 months ago
On Dissemination Thresholds in Regular and Irregular Graph Classes
We investigate the natural situation of the dissemination of information on various graph classes starting with a random set of informed vertices called active. Initially active ve...
Ivan Rapaport, Karol Suchan, Ioan Todinca, Jacques...
ALT
2007
Springer
16 years 3 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
FOCS
1994
IEEE
15 years 10 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