Publication Details
Title: The NC Equivalence of Integer Linear Programming and Euclidean GCD
Author: V. Pan
Group: ICSI Technical Reports
Date: December 1992
PDF: http://www.icsi.berkeley.edu/pubs/techreports/tr-92-041.pdf
Overview:
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.
Bibliographic Information:
ICSI Technical Report TR-92-041
Bibliographic Reference:
V. Pan. The NC Equivalence of Integer Linear Programming and Euclidean GCD. ICSI Technical Report TR-92-041, December 1992
Author: V. Pan
Group: ICSI Technical Reports
Date: December 1992
PDF: http://www.icsi.berkeley.edu/pubs/techreports/tr-92-041.pdf
Overview:
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.
Bibliographic Information:
ICSI Technical Report TR-92-041
Bibliographic Reference:
V. Pan. The NC Equivalence of Integer Linear Programming and Euclidean GCD. ICSI Technical Report TR-92-041, December 1992