2011 Fiscal Year Final Research Report
New Developments in Arborescence Packing Problems
| Project/Area Number |
22700016
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Fundamental theory of informatics
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| Research Institution | Kyushu University (2011)
Chuo University (2010) |
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Principal Investigator |
KAMIYAMA Naoyuki 九州大学, マス・フォア・インダストリ研究所, 准教授 (10548134)
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| Project Period (FY) |
2010 – 2011
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| Keywords | 有向グラフ / 有向木 / グラフ詰め込み / 配置問題 |
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| Research Abstract |
In this research, we studied arborescence packing problems that is one of fundamental problems in directed graphs. Our main results can be described as follows. The first one is the polynomial-time solvability and intractability of the root location problem for arc-disjoint arborescences. The second one is the weighted version of the min-max theorem for arc-disjoint arborescences. The last one is the algorithm using a DM decomposition for the matroid intersection problem with priority constraints that is related to packing arborescences.
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