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ICALP
2009
Springer
14 years 5 months ago
Counting Subgraphs via Homomorphisms
We introduce a generic approach for counting subgraphs in a graph. The main idea is to relate counting subgraphs to counting graph homomorphisms. This approach provides new algori...
Omid Amini, Fedor V. Fomin, Saket Saurabh
CORR
2007
Springer
60views Education» more  CORR 2007»
13 years 4 months ago
On Minimal Tree Realizations of Linear Codes
A tree decomposition of the coordinates of a code is a mapping from the coordinate set to the set of vertices of a tree. A tree decomposition can be extended to a tree realization,...
Navin Kashyap
ICC
2008
IEEE
141views Communications» more  ICC 2008»
13 years 11 months ago
Multilevel Structured Low-Density Parity-Check Codes
— Low-Density Parity-Check (LDPC) codes are typically characterized by a relatively high-complexity description, since a considerable amount of memory is required in order to sto...
Nicholas Bonello, Sheng Chen, Lajos Hanzo
STOC
2004
ACM
157views Algorithms» more  STOC 2004»
14 years 5 months ago
Derandomizing homomorphism testing in general groups
The main result of this paper is a near-optimal derandomization of the affine homomorphism test of Blum, Luby and Rubinfeld (Journal of Computer and System Sciences, 1993). We sho...
Amir Shpilka, Avi Wigderson