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math.RT2013
A cellular basis of the -Brauer algebra related with Murphy bases of the Hecke algebras
Dung Tien Nguyen
A new basis of the -Brauer algebra is introduced, which is a lift of Murphy bases of Hecke algebras of symmetric groups. This basis is a cellular basis in the sense of Graham an…
cs.DB2013
Beyond Worst-Case Analysis for Joins with Minesweeper
Hung Q. Ngo, Dung T. Nguyen, Christopher Ré +1
We describe a new algorithm, Minesweeper, that is able to satisfy stronger runtime guarantees than previous join algorithms (colloquially, `beyond worst-case guarantees') for data…