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picture1_Matrix Pdf 174327 | Witness1


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File: Matrix Pdf 174327 | Witness1
witnesses for boolean matrix multiplication and for shortest paths noga alon zvi galil oded margalit moni naor extended abstract summary of results the subcubic o n for 3 algorithms to ...

icon picture PDF Filetype PDF | Posted on 28 Jan 2023 | 4 years ago
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...Witnesses for boolean matrix multiplication and shortest paths noga alon zvi galil oded margalit moni naor extended abstract summary of results the subcubic o n algorithms to multiply matrices do not provide namely they compute c ab but if theydonotndanindexk awitness ij such that aik bkj we design a deterministic algorithm computing runs in time where here denotes logn methods distances between all pairs vertices also generate information quickly themselves witness path from v is an index k rst vertex on describe i j several versions problem as result derive characterization addition essentially same needed directed case undirected computes transitive closure department mathematics raymond beverly sackler faculty exact sciences tel aviv university israel research supported part by usa israeli bsf grant computer science columbia new york ny ibm almaden center harry road san jose ca introduction consider wn b method ik kj evaluates these expressions gives every which s other hand intege...

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