Project/Area Number |
21500001
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Fundamental theory of informatics
|
Research Institution | Kwansei Gakuin University (2010-2013) Tohoku University (2009) |
Principal Investigator |
|
Co-Investigator(Renkei-kenkyūsha) |
ZHOU Xiao 東北大学, 大学院情報科学研究科, 教授 (10272022)
ITO Takehiro 東北大学, 大学院情報科学研究科, 准教授 (40431548)
UCHIZAWA Kei 山形大学, 工学部, 准教授 (90510248)
|
Project Period (FY) |
2009-04-01 – 2014-03-31
|
Project Status |
Completed (Fiscal Year 2013)
|
Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
|
Keywords | グラフ / アルゴリズム / 分割 / 彩色 / 描画 / 全域配送林 / 直並列グラフ / 部分k木 / 公平連結分割 / 辺容量 / 擬多項式時間 / グラフ分割 / グラフ彩色 / グラフ描画 / 格子凸描画 / 内部3連結グラフ / 3連結成分分解木 / アルゴリズム理論 / 離散構造 / 設計自動化 / VLSI設計 |
Research Abstract |
This research develops efficient algorithms for the partitioning, coloring and drawing problems of graphs, and applies them to practical problems in real world. One of the representative results is an algorithm for the fairest connected partition problem. It partitions a weighted graph G to a specified number of connected subgraphs by deleting edges from G so that the difference between the maximum sum of weights in a subgraph and the minimum one is as small as possible.
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