2013 Fiscal Year Final Research Report
Structures and representations of distance-regular graphs
| Project/Area Number |
21540023
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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 |
Algebra
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| Research Institution | International Christian University |
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Principal Investigator |
SUZUKI HIROSHI 国際基督教大学, 教養学部, 教授 (10135767)
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| Project Period (FY) |
2009-04-01 – 2014-03-31
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| Keywords | 代数的組合せ論 / 距離正則グラフ / Terwilliger 代数 / 完全正則符号 / 有限幾何 |
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| Research Abstract |
Through the investigations of completely regular codes of a graph not necessarily distance-regular, I reached a concept of completely regular clique graphs, and gave several evidence that it plays a key role in a classification of classical distance-regular graphs. In particular, a thorough investigation of thin completely regular clique graphs will imply a classification of thin Q-polynomial distance-regular graphs.
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