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SODA
2012
ACM
227views Algorithms» more  SODA 2012»
7 years 4 months ago
Improved output-sensitive quantum algorithms for Boolean matrix multiplication
We present new quantum algorithms for Boolean Matrix Multiplication in both the time complexity and the query complexity settings. As far as time complexity is concerned, our resu...
François Le Gall
DLT
2010
9 years 3 months ago
Fast Parsing for Boolean Grammars: A Generalization of Valiant's Algorithm
Abstract. The well-known parsing algorithm for the context-free grammars due to Valiant ("General context-free recognition in less than cubic time", Journal of Computer a...
Alexander Okhotin
BCBGC
2008
9 years 3 months ago
BMA - Boolean Matrices as Model for Motif Kernels
We introduce the data model BM, which specifies kernels of motifs by means of Boolean matrices. Different from position frequency matrices these only specify which bases can appea...
Jan Schröder, Manfred Schimmler, Heiko Schr&o...
FOCS
1992
IEEE
9 years 5 months ago
Witnesses for Boolean Matrix Multiplication and for Shortest Paths
Abstract Summary of results The subcubic (O(n ) for < 3) algorithms to multiply Boolean matrices do not provide the witnesses; namely, they compute C = AB but if Cij = 1 they d...
Noga Alon, Zvi Galil, Oded Margalit, Moni Naor
COCOON
2003
Springer
9 years 6 months ago
The Complexity of Boolean Matrix Root Computation
Abstract. We show that finding roots of Boolean matrices is an NPhard problem. This answers a twenty year old question from semigroup theory. Interpreting Boolean matrices as dire...
Martin Kutz
CASC
2007
Springer
133views Mathematics» more  CASC 2007»
9 years 7 months ago
Algebraic Visualization of Relations Using RelView
For graphs there exist highly elaborated drawing algorithms. We concentrate here in an analogous way on visualizing relations represented as Boolean matrices as, e.g., in RelView. ...
Rudolf Berghammer, Gunther Schmidt
ICDM
2009
IEEE
129views Data Mining» more  ICDM 2009»
9 years 8 months ago
Extended Boolean Matrix Decomposition
—With the vast increase in collection and storage of data, the problem of data summarization is most critical for effective data management. Since much of this data is categorica...
Haibing Lu, Jaideep Vaidya, Vijayalakshmi Atluri, ...
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