The Diophantine Frobenius Problem
By (author) Jorge L. Ramirez Alfonsin
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Diophantine Frobenius Problem by Jorge L. Ramirez Alfonsin
Book DescriptionDuring the early part of the last century, Ferdinand Georg Frobenius (1849-1917) raised he following problem, known as the Frobenius Problem (FP): given relatively prime positive integers a1,...,an, find the largest natural number (called the Frobenius number and denoted by g(a1,...,an) that is not representable as a nonnegative integer combination of a1,...,an, . At first glance FP may look deceptively specialized. Nevertheless it crops up again and again in the most unexpected places and has been extremely useful in investigating many different problems. A number of methods, from several areas of mathematics, have been used in the hope of finding a formula giving the Frobenius number and algorithms to calculate it. The main intention of this book is to highlight such methods, ideas, viewpoints and applications to a broader audience.
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Book DetailsISBN: 9780198568209
(240mm x 65mm x 19mm)
Imprint: Oxford University Press
Publisher: Oxford University Press
Publish Date: 1-Dec-2005
Country of Publication: United Kingdom
Books By Author Jorge L. Ramirez Alfonsin
Perfect Graphs, Hardback (September 2001)» View all books by Jorge L. Ramirez Alfonsin
Taking a fresh approach to graph theory, this book surveys the latest research articles, highlighting the new directions and seminal results. It also emphasizes the links the subject has to other areas of mathematics and its applications. In particular, the links between perfect graphs and frequency assignment for telecommunications are discussed.
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