Borodin hopcroft

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August undefined, 2024

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 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 …

Minimizing Congestion in General Networks - Semantic …

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 … 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 … refrigerated grocery lockers

Fast algorithms for bit-serial routing on a hypercube

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. 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 ... WebNov 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 … refrigerated homestyle buttermilk biscuits

Routing, merging, and sorting on parallel models of …

Fast Algorithms for Bit-Serial Routing on a Hypercube (1991)

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 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. refrigerated horseradish pickles where to buyWebis 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 refrigerated ice cart

"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. " - Borodin hopcroft

Borodin hopcroft

$He complexity of elementary algebra and geometry - Math Practice$

Web6.2 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. A permutation routing problem is a problem in WebDepartment of Computer Science, University of Toronto

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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. 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 …

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

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 ... 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.

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 ...

WebThis result extends the Borodin-Hopcroft -packet-step lower bound for deterministic oblivious algorithms to randomized oblivious algorithms. The lower bound for … refrigerated horseradishWebMay 1, 1990 · We generalize the Borodin-Hopcroft lower bound on oblivious routing by proving that any oblivious randomized algorithm on a polylogarithmic degree network … refrigerated hummas go badWebFeb 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 ... refrigerated hunting truckWebOur 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 … refrigerated ice binWebBorodin, A.*, Constable, R.L., Hopcroft, J.E. Cornell University Ithaca, New York * University of Toronto Abstract Let t be any abstract measure of computational … refrigerated ice chestWebEnter the email address you signed up with and we'll email you a reset link. refrigerated ice teaWeb3.2 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 … refrigerated ice cream