max planck institut
informatik

# MPI-I-98-2-018

## A note on the membership problem for the first elementary closure of a polyhedron

### Eisenbrand, Friedrich

MPI-I-98-2-018. November 1998, 3 pages. | Status: distribution forbidden | Next --> Entry | Previous <-- Entry

Abstract in LaTeX format:
The problem: Given an integral matrix $A$, an
integral vector $b$ and some rational vector $x$, decide whether $x$
is outside the elementary closure $\{ x \in \R^n \mid Ax \leq b \}'$, is NP-complete. This result is achieved by an
extension of a result by Caprara and Fischetti.
Acknowledgement:
References to related material: