Abstract
The mesh of trees is an interesting topology of distributedmemory parallel machine to implement severall parallel algorithms (sorting, algorithms on matrices,...). [3]. In this way, we study communication problems in this toporogy, and in particular we want to find good methods to broadcast a message in [2]. Because the mesh of trees is constructed from complete binary trees [3], we first present different broadcasting schemes in trees, and then we use this schemes to define an efficient algorithm of broadcasting in the mesh of trees [1] in at most 5n + [n/2] + 1 communication steps.
References
D. Barth: An Algorithm of Broadcasting in the Mesh of Trees. Research Report, LaBRI, Université de Bordeaux I, 1992.
P. Fraigniaud, E. Lazard: Methods and problems of communication in usual networks. Research Report n.701, L.R.I., Université Paris Sud, Centre d'Orsay, 1991.
F.T. Leigthon: Introduction to Parallel Algorithms and Architectures. Morgann Kaufmann Publishers, 1992.
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© 1992 Springer-Verlag Berlin Heidelberg
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Barth, D. (1992). An algorithm of broadcasting in the mesh of trees. In: Bougé, L., Cosnard, M., Robert, Y., Trystram, D. (eds) Parallel Processing: CONPAR 92—VAPP V. VAPP CONPAR 1992 1992. Lecture Notes in Computer Science, vol 634. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-55895-0_517
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DOI: https://doi.org/10.1007/3-540-55895-0_517
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