Short rational functions for toric algebra and applications
Article Properties
-
LanguageEnglish
-
DOI (url)
-
Publication Date2004/08/01
-
Journal
-
Indian UGC (journal)
-
Refrences12
-
Citations20
-
J.A. De Loera
-
D. Haws
-
R. Hemmecke
-
P. Huggins
-
B. Sturmfels
-
R. Yoshida
Journal Categories
Science
Mathematics
Science
Mathematics
Instruments and machines
Electronic computers
Computer science
Technology
Engineering (General)
Civil engineering (General)
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| The Gröbner fan of an ideal | Journal of Symbolic Computation |
| 1988 | |
| Integer programming, Barvinok’s counting algorithm and Gomory relaxations | Operations Research Letters |
| 2003 | |
| Short rational generating functions for lattice point problems | Journal of the American Mathematical Society |
| 2003 | |
A Polynomial Time Algorithm for Counting Integral Points in Polyhedra When the Dimension is Fixed | Mathematics of Operations Research |
| 123 | 1994 |
| An algorithmic theory of lattice points in polyhedra | 1999 |
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Learning a performance metric of Buchberger’s algorithm | Involve, a Journal of Mathematics |
| 1 | 2023 |
| Polyhedral Omega: a New Algorithm for Solving Linear Diophantine Systems | Annals of Combinatorics |
| 4 | 2017 |
| Short rational generating functions for solving some families of fuzzy integer programming problems | Fuzzy Sets and Systems |
| 2 | 2015 |
PRESBURGER ARITHMETIC, RATIONAL GENERATING FUNCTIONS, AND QUASI-POLYNOMIALS | The Journal of Symbolic Logic |
| 14 | 2015 |
| An Application of Integer Programming to the Decomposition of Numerical Semigroups | SIAM Journal on Discrete Mathematics |
| 4 | 2012 |
Citations Analysis
The category
Science: Mathematics 17
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Effective lattice point counting in rational convex polytopes and was published in 2004. The most recent citation comes from a 2023 study titled Learning a performance metric of Buchberger’s
algorithm. This article reached its peak citation in 2011, with 4 citations. It has been cited in 17 different journals. Among related journals, the Mathematical Programming cited this research the most, with 3 citations. The chart below illustrates the annual citation trends for this article.