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» Independence in Direct-Product Graphs
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COMBINATORICA
1998
94views more  COMBINATORICA 1998»
15 years 12 days ago
The Shannon Capacity of a Union
For an undirected graph G = (V, E), let Gn denote the graph whose vertex set is V n in which two distinct vertices (u1, u2, . . . , un) and (v1, v2, . . . , vn) are adjacent iff ...
Noga Alon
EMSOFT
2011
Springer
14 years 14 days ago
Hard-real-time scheduling of data-dependent tasks in embedded streaming applications
Most of the hard-real-time scheduling theory for multiprocessor systems assumes independent periodic or sporadic tasks. Such a simple task model is not directly applicable to mode...
Mohamed Bamakhrama, Todor Stefanov
102
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FOCS
2005
IEEE
15 years 6 months ago
A Characterization of the (natural) Graph Properties Testable with One-Sided Error
The problem of characterizing all the testable graph properties is considered by many to be the most important open problem in the area of property-testing. Our main result in thi...
Noga Alon, Asaf Shapira
STOC
2010
ACM
220views Algorithms» more  STOC 2010»
15 years 4 months ago
Combinatorial approach to the interpolation method and scaling limits in sparse random graphs
We establish the existence of free energy limits for several sparse random hypergraph models corresponding to certain combinatorial models on Erd¨os-R´enyi graph G(N, c/N) and r...
Mohsen Bayati, David Gamarnik, Prasad Tetali
115
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INFOCOM
2009
IEEE
15 years 7 months ago
Delay Guarantees for Throughput-Optimal Wireless Link Scheduling
—We consider the question of obtaining tight delay guarantees for throughout-optimal link scheduling in arbitrary topology wireless ad-hoc networks. We consider two classes of sc...
Koushik Kar, Xiang Luo, Saswati Sarkar