| Project/Area Number |
20740054
|
|---|
| Research Category |
Grant-in-Aid for Young Scientists (B)
|
| Allocation Type | Single-year Grants |
|---|
| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
|
|---|
| Research Institution | Kyoto University |
|---|
Principal Investigator |
HIRAI Hiroshi Kyoto University, 大学院・情報理工学系研究科, 講師 (20378962)
|
|---|
| Project Period (FY) |
2008 – 2010
|
| Project Status |
Completed (Fiscal Year 2010)
|
| Budget Amount *help |
¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2008: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
|
|---|
| Keywords | マルチフロー / メトリック / ネットワークフロー / 最大最小定理 / 多項式時間アルゴリズム |
|---|
| Research Abstract |
We studied multiflow problems in combinatorial optimization. We introduced and developed the tight-span duality theory, which extends the duality relationship between multiflows and metrics, a well-known duality since 70's. As a consequence, We solved Karzanov' s problem, one of important open problems in the literature, which asks a complete characterization for the class of multiflow problems admitting combinatorial min-max theorems and the discreteness of flows. This result is an important step toward a unified theory for multiflow problems.
|
Report
(4 results)
Research Products
(27 results)
