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  1. Order
  2. Order : Volume 14
  3. Order : Volume 14, Issue 1, March 1997
  4. Additive Macaulay Posets
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Order : Volume 14, Issue 3, September 1997
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Order : Volume 14, Issue 1, March 1997
The Lattice of Completions of an Ordered Set
Set-Homogeneous Graphs and Embeddings of Total Orders
Initial Chain Algebras on Pseudotrees
Additive Macaulay Posets
On Representing Faces of a Cube by Subfaces
Shrinkability of Minimal Elements in Sphere Representations of Posets
A Lower Bound for Congruence Representations
Sources and Sinks in Comparability Graphs

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Additive Macaulay Posets

Content Provider Springer Nature Link
Author Clements, G. F.
Copyright Year 1997
Abstract An additive sequence of integers is a finite sequence in which the sum of any number of consecutive terms is less than or equal to the sum of the same number of initial terms in the sequence and greater than or equal to the sum of the same number of final terms in the sequence. If the final several terms in an additive sequence are greater than or equal to, in order, the initial several terms of a second additive sequence, then the juxtaposition of the two sequences is also additive. This simple fact has combinatorial corollaries.
Starting Page 39
Ending Page 46
Page Count 8
File Format PDF
ISSN 01678094
Journal Order
Volume Number 14
Issue Number 1
e-ISSN 15729273
Language English
Publisher Kluwer Academic Publishers
Publisher Date 1997-01-01
Publisher Place Dordrecht
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Theory of Computation Geometry Convex and Discrete Geometry
Content Type Text
Resource Type Article
Subject Algebra and Number Theory Computational Theory and Mathematics Geometry and Topology
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