最小eigenvalue至少为$-1-τ$的胖霍夫曼图
Fat Hoffman graphs with smallest eigenvalue at least $-1-τ$
摘要：
本文证明了所有最小特征值至少为-1-τ（τ为黄金比例）的胖Hoffman图都可以用胖（-1-τ）-不可约Hoffman图的有限集来描述.用Woo和Neumaier的术语，我们认为每个最小特征值至少为-1-τ的胖Hoffman图都是H线图，其中H是极大胖（-1-τ）-不可约Hoffman图的同构类的集合。结果表明，直到同构为止，存在37个胖（-1-τ）-不可约Hoffman图.
英文摘要：
In this paper, we show that all fat Hoffman graphs with smallest eigenvalue at least -1-τ, where τis the golden ratio, can be described by a finite set of fat (-1-τ)-irreducible Hoffman graphs. In the terminology of Woo and Neumaier, we mean that every fat Hoffman graph with smallest eigenvalue at least -1-τis an H-line graph, where H is the set of isomorphism classes of maximal fat (-1-τ)-irreducible Hoffman graphs. It turns out that there are 37 fat (-1-τ)-irreducible Hoffman graphs, up to isomorphism.
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