2014年
On fat Hoffman graphs with smallest eigenvalue at least $-3$
ARS MATHEMATICA CONTEMPORANEA
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- 巻
- 7
- 号
- 1
- 開始ページ
- 105
- 終了ページ
- 121
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- 出版者・発行元
- UP FAMNIT
We investigate fat Hoffman graphs with smallest eigenvalue at least -3, using their special graphs. We show that the special graph S (h) of an indecomposable fat Hoffman graph h is represented by the standard lattice or an irreducible root lattice. Moreover, we show that if the special graph admits an integral representation, that is, the lattice spanned by it is not an exceptional root lattice, then the special graph S-(h) is isomorphic to one of the Dynkin graphs A(n), D-n, or extended Dynkin graphs (A) over tilde (n) or (D) over tilde (n).
- リンク情報
- ID情報
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- ISSN : 1855-3966
- eISSN : 1855-3974
- SCOPUS ID : 84892174074
- Web of Science ID : WOS:000320236500009