Name
Abstract | ||
|---|---|---|
An integral convex polytope P subset of R-N possesses the integer decomposition property if, for any integer k > 0 and for any alpha is an element of kP boolean AND Z(N), there exist alpha(1), ... , alpha(k) is an element of P boolean AND Z(N) such that alpha = alpha(1) + ... + alpha(k). A fundamental question is to determine the integers k > 0 for which the dilated polytope kP possesses the integer decomposition property. In the present paper, combinatorial invariants related to the integer decomposition property of dilated polytopes will be proposed and studied. |
Year | Venue | Field |
|---|---|---|
2014 | ELECTRONIC JOURNAL OF COMBINATORICS | Integer,Discrete mathematics,Combinatorics,Convex polytope,Polytope,Invariant (mathematics),Mathematics |
DocType | Volume | Issue |
Journal | 21.0 | 4.0 |
ISSN | Citations | PageRank |
1077-8926 | 1 | 0.43 |
References | Authors | |
0 | 4 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| David A. Cox | 1 | 1 | 0.43 |
| christian haase | 2 | 1 | 1.11 |
| Takayuki Hibi | 3 | 94 | 30.08 |
| Akihiro Higashitani | 4 | 1 | 0.43 |