Fat Hoffman graphs with smallest eigenvalue at least −1 − τ
Munemasa, Akihiro ; Sano, Yoshio ; Taniguchi, Tetsuji
ARS MATHEMATICA CONTEMPORANEA, Tome 6 (2013), / Harvested from ARS MATHEMATICA CONTEMPORANEA
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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.

Publié le : 2013-01-01
DOI : https://doi.org/10.26493/1855-3974.287.137 
@article{287,
     title = {Fat Hoffman graphs with smallest eigenvalue at least -1 - t},
     journal = {ARS MATHEMATICA CONTEMPORANEA},
     volume = {6},
     year = {2013},
     doi = {10.26493/1855-3974.287.137},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/287}
}

Munemasa, Akihiro; Sano, Yoshio; Taniguchi, Tetsuji. Fat Hoffman graphs with smallest eigenvalue at least −1 − τ. ARS MATHEMATICA CONTEMPORANEA, Tome 6 (2013) . doi : 10.26493/1855-3974.287.137. http://gdmltest.u-ga.fr/item/287/