Geodesic
Fat Hoffman graphs with smallest eigenvalue at least −1 − τ
Ars Mathematica Contemporanea, Tome 7 (2014) no. 1, pp. 247-262.

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In this paper, we show that all fat Hoffman graphs with smallest eigenvalue at least − 1 − τ, where τ is 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 − τ is 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.
DOI : 10.26493/1855-3974.287.137
Keywords: Hoffman graph, line graph, graph eigenvalue, special graph 
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Akihiro Munemasa; Yoshio Sano; Tetsuji Taniguchi. Fat Hoffman graphs with smallest eigenvalue at least −1 − τ. Ars Mathematica Contemporanea, Tome 7 (2014) no. 1, pp. 247-262. doi : 10.26493/1855-3974.287.137. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.287.137/

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