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The NC equivalence of planar integer linear programming and Euclidean GCD

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3 Author(s)
Shallcross, D. ; Bellcore, Morristown, NJ, USA ; Pan, Victor ; Yu Lin-Kriz

We show NC-reduction of integer linear programming with two variables to the evaluation of the remainder sequence arising in the application of the Euclidean algorithm to two positive integers. Due to the previous result of X. Deng (1989), this implies NC-equivalence of both of these problems, whose membership in NC, as well as P-completeness, remain unresolved open problems

Published in:

Foundations of Computer Science, 1993. Proceedings., 34th Annual Symposium on

Date of Conference:

3-5 Nov 1993