A characterization of one-to-one modular mappings

Authors:
A. Darte;R. Dion;Y. Robert
Affiliations:
-;-;-
Venue:
SPDP '95 Proceedings of the 7th IEEE Symposium on Parallel and Distributeed Processing
Year:
1995

Citing 0
Cited 2

Automatic Generation of Modular Time-Space Mappings and Data Alignments

Journal of VLSI Signal Processing Systems - Special issue on application specific systems, architectures and processors
Automatic generation of injective modular mappings

ICPP '97 Proceedings of the international Conference on Parallel Processing

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Abstract

We deal with modular mappings as introduced by H.J. Lee and J.A.B. Fortes (1994) and we build upon their results. Our main contribution is a characterization of one to one modular mappings that is valid even when the source domain and the target domain of the transformation have the same size but not the same shape. This characterization is constructive, and a procedure to test the injectivity of a given transformation is presented.