2011 Fiscal Year Final Research Report
A study of graph width parameters
| Project/Area Number |
21500004
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Fundamental theory of informatics
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| Research Institution | Gunma University |
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Principal Investigator |
YAMAZAKI Koichi 群馬大学, 大学院・工学研究科, 教授 (00246662)
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| Project Period (FY) |
2009 – 2011
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| Keywords | 木幅 / パス幅 / パス距離幅 / 近似アルゴリズム |
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| Research Abstract |
The purpose of this study is to design approximation algorithms for tree-width, branch-width, bandwidth, path-width, and so on by considering its duality. As the result of the study, we showed that the distance path width of AT-free graphs can be approximated within a constant factor in polynomial time. Moreover, by considering the duality, we gave lower bounds for tree-width for Cartesian products of graphs, and extended the notion of forbidden structure for path-width to matroids.
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