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The Diophantine Frobenius Problem$
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Jorge L. Ramírez Alfonsín

Print publication date: 2005

Print ISBN-13: 9780198568209

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198568209.001.0001

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Generalizations and related problems

Generalizations and related problems

(p.119) 6 Generalizations and related problems
The Diophantine Frobenius Problem

J. L. Ramírez Alfonsín

Oxford University Press

Let g(n, t) and h(n, t) be the largest and smallest of three of the Frobenius numbers when a1 < · · · < an = t and t = a1 < · · · < an, respectively. This chapter reviews the results on these functions. It also examines an algorithm that solves the modular change problem, a generalization of FP, due to Z. Skupień, describes the relation between FP and (a1, . . . , an)-trees, discusses the postage stamp problem, as well as a multidimensional generalization of FP.

Keywords:   Frobenius number, algorithm, modular change problem, Z. Skupień, postage stamp problem

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