The Frobenius Problem and Maximal Lattice Free Bodies

Authors

Herbert E. Scarf
David F. Shallcross

Document Type

Discussion Paper

Publication Date

6-1-1990

CFDP Number

945

CFDP Pages

12

Abstract

Let p = ( p 1 ,…, p n ) be a vector of positive integers whose greatest common divisor is unity. The Frobenius problem is to find the largest integer f * which cannot be written as a non-negative integral combination of the p i . In this note we relate the Frobenius problem to the topic of maximal lattice free bodies and describe an algorithm for n = 3.

Recommended Citation

Scarf, Herbert E. and Shallcross, David F., "The Frobenius Problem and Maximal Lattice Free Bodies" (1990). Cowles Foundation Discussion Papers. 1188.
https://elischolar.library.yale.edu/cowles-discussion-paper-series/1188