Borodin hopcroft

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August undefined, 2024

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

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Webshowed 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 … 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”. pitch and melody

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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. 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 … pitch and note difference

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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 … 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. stick on shoe embellishmentsWebSuppose 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 … pitch and partners

"WebMay 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 … " - Borodin hopcroft

Borodin hopcroft

WebMay 1, 1990 · We generalize the Borodin-Hopcroft lower bound on oblivious routing by proving that any oblivious randomized algorithm on a polylogarithmic degree network … 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.

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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 …

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 ... 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

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 … Webhypercube, the lower bound is bit steps. This result extends the Borodin-Hopcroft -packet-step lower bound for deterministic oblivious algorithms [7] to randomized oblivious algorithms. The lower bound for deterministic oblivious algorithms has recently been improved to by Kaklamanis, Krizanc, and Tsantilas

WebWant to minimize the objective t (cong. of r on dt) ... Cost(ALG) = t (cong. of rt on dt) Shuchi Chawla, Carnegie Mellon University. 11 ... – A free PowerPoint PPT presentation (displayed as an HTML5 slide show) on PowerShow.com - id: 1ae3d2-ZDc1Z

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 … pitch and paddle three riversWebFeb 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 ... pitch and pay residents societyWebNov 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 … stick on shelf bracketsWebJE 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 … stick on shiplap for fireplace mantelWebOct 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 … stick on screw capsWebis 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 pitch and patWebFeb 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 ... pitch and paddle beccles