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The Postage Stamp Problem: The Extremal Basis for k=4

โœ Scribed by Svein Mossige


Book ID
102599809
Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
147 KB
Volume
90
Category
Article
ISSN
0022-314X

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โœฆ Synopsis


Given an integral stamp basis A k with [1=a 1 <a 2 < } } } <a k ] and a positive integer h, we define the h-range n(h, A k ) as

We consider parameter bases A k =A k (h), where the basis elements a i are given functions of h. For k=4 and sufficiently large h we give the extremal basis. 2001


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A G-design of order n is a pair (P,B) where P is the vertex set of the complete graph Kn and B is an edge-disjoint decomposition of Kn into copies of the simple graph G. Following design terminology, we call these copies "blocks". Here/ยฃ4 -e denotes the complete graph K4 with one edge removed. It is