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Borodin hopcroft

WebFeb 1, 1998 · We generalize the Borodin-Hopcroft lower bound on oblivious routing by proving that any randomized oblivious algorithm on a polylogarithmic degree network requires at least (log2 N/log logN) bit ... WebOur algorithm is adaptive and we show that this is necessary to achieve the logarithmic speedup. We generalize the Borodin-Hopcroft lower bound on oblivious routing by …

An extended framework for worst-case throughput analysis with …

WebApr 1, 1986 · Borodin, Hopcroft, von zur Gathen. Fast parallel matrix and gcd computations. Proc. 23rd Symp. on Foundations of Computer Science (1982), pp. 65-71. CrossRef View Record in Scopus Google Scholar. 3. A. Borodin. On relating time and space to size and depth. SIAM J. Comput., 6 (No. 4) (1977), pp. 733-744. WebBoth the Valiant and the Borodin-Hopcroft algorithms rely on the following basic construction: Split each list into blocks of size √ n, with √ npivots. Running all pairwise … henry\u0027s ark petting zoo louisville ky https://crowleyconstruction.net

Secure Merge in Linear Time and O(loglog N) Rounds †∗ - IACR

WebBorodin, A.*, Constable, R.L., Hopcroft, J.E. Cornell University Ithaca, New York * University of Toronto Abstract Let t be any abstract measure of computational complexity, and let L de note the specific measure of memory resource (tape) on one tape Turing machines. De~ote by R:( ) the class of all total functions whose t-complexity is ... WebFeb 5, 2015 · We generalize the Borodin-Hopcroft lower bound on oblivious routing by proving that any randomized oblivious algorithm on a polylogarithmic degree network requires at least (log2 N/log logN) bit ... WebSuppose we want to use thed-dimensional butterfly network as an indirect communication network with the nodes at layerdbeing the inputs and the nodes in layer 0 being the outputs. Then we know from the Borodin-Hopcroft lower bound that a permutation can be constructed so thatΩ(√. 2 d)paths go through a single node. henry\u0027s hut vail

Fast algorithms for bit-serial routing on a hypercube

Category:Minimizing Congestion in General Networks - Semantic …

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Borodin hopcroft

6 Routing - Department of Computer Science

WebFeb 4, 1994 · We generalize the Borodin-Hopcroft lower bound on oblivious routing by proving that any randomized oblivious algorithm on a polylogarithmic degree network requires at least (log2 N/log logN) bit ... Webis similar to the classic Borodin-Hopcroft lower bound proof [7] but extends their method and result in two ways. First, the lower bound applies to almost all permutations, and second, it applies to a wider class of algorithms: randomized oblivious algorithms as opposed to deterministic oblivious algorithms. Our only

Borodin hopcroft

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WebFeb 1, 1985 · Other natural classes of routing strategies (e.g., minimal routing) also deserve further consideration.As for sorting, while the Ajtai, Komlos, and Szemeredi [2] result … WebJun 1, 1985 · The first task is to denest ,Ja2-b2r1 = /(112+70 )2-(46+34,2)2 x 5 = /204+40h recursively. This proceeds as in section 2, with the resulting denesting d = /204 + 40V/_2 …

WebWe generalize the Borodin-Hopcroft lower bound on oblivious routing by proving that any randomized oblivious algorithm on a polylogarithmic degree network requires at least … WebThe elegant lower bound proofs of Valiant and Borodin Hopcroft show thatnOoglogn) rounds are required ifn processors are used for the problems of finding the maximum and merging, respectively. The algorithms of Valiant and Kruskal run in0Ooglogn) rounds using n I I processors for each of these problems, og ogn respectively.

WebOct 22, 2014 · We generalize the Borodin-Hopcroft lower bound on oblivious routing by proving that any randomized oblivious algorithm on a polylogarithmic degree network requires at least \Omega\Gammaast 2 N= log log N) bit steps with high probability for almost all permutations. 1 Introduction Substantial effort has been devoted to the study of store … WebFeb 1, 1970 · We generalize the Borodin-Hopcroft lower bound on oblivious routing by proving that any randomized oblivious algorithm on a polylogarithmic degree network requires at least (log2 N/log logN) bit ...

WebJE Hopcroft, JK Wong. Proceedings of the sixth annual ACM symposium on Theory of computing, 172-184. , 1974. 673. 1974. Routing, merging and sorting on parallel models …

whereas we know from the Borodin-Hopcroft lower bound that deterministic oblivious routing strategies may perform poorly in certain situations. † Many adaptive routing strategies can adapt quickly to faulty nodes or edges in the network, whereas in oblivious routing faulty nodes or edges may disconnect certain source-destination henry\u0027s guns yukon okWeb4.2 The Borodin-Hopcroft lower bound The nice property of the x ¡ y routing strategy is that it just has to specify one path for each source-destination pair. Does this suffice to obtain good oblivious routing strategies for arbitrary networks? The next theorem shows that there is a limit to this. henry\u0027s donuts mukilteoWebAug 1, 1996 · We study the cut-through with partial cuts model which is most commonly used in practice. We present the first algorithms, deterministic and probabilistic, based on this model for the permutation... henry\u0027s auto salesWebThis result extends the Borodin-Hopcroft -packet-step lower bound for deterministic oblivious algorithms to randomized oblivious algorithms. The lower bound for … henry\u0027s hi life san joseWebBorodin and Hopcroft, in a landmark paper, sug- gested a greedy hot-potato algorithm for the hypercube [BH85 Although they did not give a complete analysis of its be- havior they observed that ‘(experimentally the algorithm appears promising”. henry\u0027s hi-life san joseWebby A Borodin, J E Hopcroft, merging Routing Venue: J. Comput. Syst. Sci: Add To MetaCart. Tools. Sorted by: Results 11 - 20 of 25. Next 10 →. UNIVERSAL BUFFERLESS PACKET SWITCHING by ... henry\u0027s hi life san jose menuWebTLDR. Analysis of the time and space required to route data between processors, in order to model the operation of an idealistic parallel computer in which each processor has … henry\\u0027s hi-life san jose