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- W2950813619 abstract "In this work, we use algebraic methods for studying distance computation and subgraph detection tasks in the congested clique model. Specifically, we adapt parallel matrix multiplication implementations to the congested clique, obtaining an $O(n^{1-2/omega})$ round matrix multiplication algorithm, where $omega < 2.3728639$ is the exponent of matrix multiplication. In conjunction with known techniques from centralised algorithmics, this gives significant improvements over previous best upper bounds in the congested clique model. The highlight results include: -- triangle and 4-cycle counting in $O(n^{0.158})$ rounds, improving upon the $O(n^{1/3})$ triangle detection algorithm of Dolev et al. [DISC 2012], -- a $(1 + o(1))$-approximation of all-pairs shortest paths in $O(n^{0.158})$ rounds, improving upon the $tilde{O} (n^{1/2})$-round $(2 + o(1))$-approximation algorithm of Nanongkai [STOC 2014], and -- computing the girth in $O(n^{0.158})$ rounds, which is the first non-trivial solution in this model. In addition, we present a novel constant-round combinatorial algorithm for detecting 4-cycles." @default.
- W2950813619 created "2019-06-27" @default.
- W2950813619 creator A5006005471 @default.
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- W2950813619 date "2016-03-19" @default.
- W2950813619 modified "2023-10-07" @default.
- W2950813619 title "Algebraic methods in the congested clique" @default.
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- W2950813619 cites W1542191788 @default.
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- W2950813619 cites W1575411448 @default.
- W2950813619 cites W1608550999 @default.
- W2950813619 cites W1816797629 @default.
- W2950813619 cites W1845051857 @default.
- W2950813619 cites W1852383912 @default.
- W2950813619 cites W1967066104 @default.
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- W2950813619 cites W1989682699 @default.
- W2950813619 cites W1991858502 @default.
- W2950813619 cites W1992996565 @default.
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- W2950813619 doi "https://doi.org/10.1007/s00446-016-0270-2" @default.
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