Generalised Frobenius numbers : geometry of upper bounds, Frobenius graphs and exact formulas for arithmetic sequences

Given a positive integer vector ${\ve a}=(a_{1},a_{2}\dots,a_k)^t$ with \bea 1< a_{1}<\cdots<a_{k}\, \quad \text{and}\quad \gcd(a_{1},\ldots,a_{k})=1 \,. \eea The Frobenius number of the vector ${\ve a}$, $\frob_k({\ve a})$, is the largest positive integer that cannot be represented as $\su...

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Bibliographic Details
Main Author: Mohammed, Dilbak
Published: Cardiff University 2015
Subjects:
513
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.704905