The NC Equivalence of Integer Linear Programming and Euclidean GCD
Title | The NC Equivalence of Integer Linear Programming and Euclidean GCD |
Publication Type | Technical Report |
Year of Publication | 1992 |
Authors | Pan, V. |
Other Numbers | 746 |
Abstract | 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 Deng, this implies NC-equivalence of both of these problems, whose membership in NC, as well as P-completeness, remain unresolved open problems. |
URL | http://www.icsi.berkeley.edu/pubs/techreports/tr-92-041.pdf |
Bibliographic Notes | ICSI Technical Report TR-92-041 |
Abbreviated Authors | V. Pan |
ICSI Publication Type | Technical Report |