Borodin hopcroft

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August undefined, 2024

Web4.2 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. 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

CiteSeerX — 4 Basic routing theory II – Adaptive routing

Web3.2 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 … WebBorodin, Hopcroft, von zur Gathen. Fast parallel matrix and gcd computations. Proc. 3. A. Borodin 4. W. order now. Finding connected components of a semialgebraic set in . by M Ben-Or 1984 Cited by 394 THE COMPLEXITY OF ELEMENTARY ALGEBRA AND GEOMETRY. (preliminary version). Michael Ben-Or, MIT. chopin ytb

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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 comparisons between pivots identifies which block of the opposite list each pivot is mapped to; then another round of 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 … WebBorodin 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”. chopin wrote nothing but piano music

Fast algorithms for bit-serial routing on a hypercube

3 Basic routing theory I – Oblivious routing

WebEnter the email address you signed up with and we'll email you a reset link. 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. chop irbWebshowed that the Borodin-Hopcroft algorithm terminates in n steps on the 2n-nodes hypercube for a special class of permu-t ations. Hajek [Haj91] presented a simple greedy … chop irb login

"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. " - Borodin hopcroft

Borodin hopcroft

WebA Borodin, J von zur Gathem, J Hopcroft. 23rd annual symposium on foundations of computer science (sfcs 1982), 65-71, 1982. 339: 1982: Adversarial queuing theory. A … 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 …

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WebDepartment of Computer Science, University of Toronto WebAdaptive routing has several advantages over oblivious routing: • It is possible to achieve good routing results with deterministic adaptive routing strategies, whereas we know …

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 … WebIn this paper we describe an O(log N)-bit-step randomized algorithm for bit-serial message routing on a hypercube. The result is asymptotically optimal, and improves upon the best previously known algorithms by a logarithmic factor.

WebThis result extends the Borodin-Hopcroft -packet-step lower bound for deterministic oblivious algorithms to randomized oblivious algorithms. The lower bound for … 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 ...

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 …

WebTLDR. 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 … chop irb reliance portalWebJE 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 … chop irb phoneWebNov 16, 2002 · The algorithm is adaptive and it is shown that this is necessary to achieve the logarithmic speedup, and generalize the Borodin-Hopcroft lower bound on oblivious … chop irb portalWebMay 15, 2015 · Borodin-Hopcroft lower bound, can perform poorly in certain . situations. Faulty nodes or d evices may disconnect c ertain . source-destination pairs. This will necessitate the computation . chop irb office hoursWebJun 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 … chop ioWebAug 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... great benchmarkWebThe 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. chop io online