| Even, S., and Rajsbaum, S. The use of a synchronizer yields maximum computation rate in distributed networks. 22nd Annual ACM Symposium on Theory of Computing (1990), 95--105. |
....(4) in connection with periodic graphs has raised significant interest in the past as it is the root for many problems from different application areas. This includes e.g. control theory and manufacturing [7] timing properties of discrete event systems [4] 19] parallel algorithms [20] [9], and other areas of computer science. A comprehensive treatment of the theory and applications can be found in [2] Many results have been developed while considering linear equations over a new max plus algebra, see [7] 8] 23] and [2] One of the main results is the establishment of a ....
Even, S., and Rajsbaum, S. The use of a synchronizer yields maximum computation rate in distributed networks. 22nd Annual ACM Symposium on Theory of Computing (1990), 95--105.
....factors. More precisely, f(n) O (g(n) if there exist integers k; N such that for all n N , we have f(n) log n) k Delta g(n) Previous results. The synchronizer methodology was introduced by Awerbuch [3] Synchronizers, and various aspects or applications thereof, were studied in [15, 4, 12, 25, 14, 17, 11, 23, 13]. The synchronizers fall into two categories, namely static and dynamic synchronizers. Reference Space Comm. Time [11] det. O (n) O (n) O (1) 1, 9] det. O (n) O (1) O (n) This paper (rand. O (1) O (1) O (1) Figure 1: Comparison of stretch factors of dynamic ....
Shimon Even and Sergio Rijsbaum. The use of a synchronizer yields maximum computation rate in distributed networks. In Proc. 22ndACM Symp. on Theory of Computing. ACM SIGACT, ACM, May 1990.
....in part by an Allon Fellowship, by a Walter and Elise Haas Career Development Award and by a Bantrell Fellowship. synchronous model, hence this model is more convenient for designing and analyzing network algorithms. Synchronizers, and various aspects or applications of them, were studied in [Jaf80, Awe85b, CGZ86, SM86, FLS87, LT87, AS88, PU89, ER90]. The synchronizer operates by generating a sequence of local clock pulses at each processor of the network, satisfying the following property: pulse number p is generated by a processor only after it received all the messages of the algorithm sent to it by its neighbors during their pulse number ....
Shimon Even and Sergio Rijsbaum. The use of a synchronizer yields maximum computation rate in distributed networks. In Proc. 22nd ACM Symp. on Theory of Computing. ACM SIGACT, ACM, May 1990.
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