Geodesic
The maximal exceptional graphs with maximal degree less than 28
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 26 (2001) no. 1 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Voir la notice de l'article

A graph is said to be {\em exceptional} if it is connected, has least eigenvalue greater than or equal to $-2$, and is not a generalized line graph. Such graphs are known to be representable in the root system $E_8$. The 473 maximal exceptional graphs were found initially by computer, and the 467 with maximal degree $28$ have subsequently been characterized. Here we use constructions in $E_8$ to prove directly that there are just six maximal exceptional graphs with maximal degree less than 28. 
@article{BASS_2001_26_1_a6,
     author = {D. Cvetkovi\'c and P. Rowlinson and S.K. Simi\'c},
     title = {The maximal exceptional graphs with maximal degree less than 28},
     journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
     pages = {115 - 131},
     year = {2001},
     volume = {26},
     number = {1},
     zbl = {0997.05060},
     url = {http://geodesic.mathdoc.fr/item/BASS_2001_26_1_a6/}
}
TY  - JOUR
AU  - D. Cvetković
AU  - P. Rowlinson
AU  - S.K. Simić
TI  - The maximal exceptional graphs with maximal degree less than 28
JO  - Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles
PY  - 2001
SP  - 115 
EP  -  131
VL  - 26
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/BASS_2001_26_1_a6/
ID  - BASS_2001_26_1_a6
ER  - 
%0 Journal Article
%A D. Cvetković
%A P. Rowlinson
%A S.K. Simić
%T The maximal exceptional graphs with maximal degree less than 28
%J Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles
%D 2001
%P 115 - 131
%V 26
%N 1
%U http://geodesic.mathdoc.fr/item/BASS_2001_26_1_a6/
%F BASS_2001_26_1_a6
D. Cvetković; P. Rowlinson; S.K. Simić. The maximal exceptional graphs with maximal degree less than 28. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 26 (2001) no. 1. http://geodesic.mathdoc.fr/item/BASS_2001_26_1_a6/