Name
Abstract | ||
|---|---|---|
This paper discusses analytic algorithms and software for the enumeration of all integer flows inside a network. Concrete applications abound in graph theory, representation theory, and statistics. Our methods are based on the study of rational functions with poles on arrangements of hyperplanes; they surpass traditional exhaustive enumeration and can even yield formulas when the input data contains some parameters. We also discuss the calculation of chambers in detail because it is a necessary subroutine. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1007/s10208-003-0088-8 | Foundations of Computational Mathematics |
Keywords | Field | DocType |
Integral flows,Flow polytopes,Lattice points,Rational function
manipulation,Hyperplane arrangements,Residues,Transportation problems,Kostant
partition function,Chambers | Integer,Subroutine,Mathematical analysis,Representation theory,Software,Hyperplane,Graph theory,Mathematical optimization,Algebra,Enumeration,Algorithm,Rational function,Mathematics | Journal |
Volume | Issue | ISSN |
4 | 3 | 1615-3375 |
Citations | PageRank | References |
8 | 0.81 | 8 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| M. Welleda Baldoni-silva | 1 | 14 | 1.62 |
| J. A. De Loera | 2 | 72 | 7.06 |
| Michèle Vergne | 3 | 59 | 8.21 |