2011 Fiscal Year Final Research Report
Complexity and Algorithms for the Graph Isomorphism Problem
| Project/Area Number |
22700018
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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 | Tottori University of Environmental Studies |
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Principal Investigator |
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| Project Period (FY) |
2010 – 2011
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| Keywords | グラフ同型性判定問題 / グラフ自己同型性判定問題 / 計算複雑さ / アルゴリズム |
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| Research Abstract |
In this study, we have shown that, for chordal graphs with bounded clique size, the graph isomorphism with restriction, an extension of the graph isomorphism problem, is decidable in polynomial-time. For the same class of graphs, we have designed a faster algorithm to solve the prefix set of GI. We have also developed a linear time algorithm to recover stroke order from static handwritten image by using the subgraph isomorphism problem. A tabu-search based algorithm for the problem has also developed.
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