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- W2964134420 abstract "In this paper we propose models of combinatorial algorithms for the BooleanMatrix Multiplication (BMM), and prove lower bounds on computing BMM in these models. First, we give a relatively relaxed combinatorial model which is an extension of the model by Angluin (1976), and we prove that the time required by any algorithmfor the BMM is at least Omega(n^3 / 2^{O( sqrt{ log n })}). Subsequently, we propose a more general model capable of simulating theFour Russian Algorithm. We prove a lower bound of Omega(n^{7/3} / 2^{O(sqrt{ log n })}) for the BMM under this model. We use a special class of graphs, called (r,t)-graphs, originally discovered by Rusza and Szemeredi (1978),along with randomization, to construct matrices that are hard instances for our combinatorial models." @default.
- W2964134420 created "2019-07-30" @default.
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- W2964134420 date "2018-01-16" @default.
- W2964134420 modified "2023-09-23" @default.
- W2964134420 title "Lower bounds for Combinatorial Algorithms for Boolean Matrix Multiplication" @default.
- W2964134420 doi "https://doi.org/10.4230/lipics.stacs.2018.23" @default.
- W2964134420 hasPublicationYear "2018" @default.
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