Geodesic
Inequivalent Regular Factors of Regular Graphs on 8 Vertices
Publications de l'Institut Mathématique, _N_S_29 (1981) no. 43, p. 171 
Zoran S. Radosavljević. Inequivalent Regular Factors of Regular Graphs on 8 Vertices. Publications de l'Institut Mathématique, _N_S_29 (1981) no. 43, p. 171 . http://geodesic.mathdoc.fr/item/PIM_1981_N_S_29_43_a19/
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     author = {Zoran S. Radosavljevi\'c},
     title = {Inequivalent {Regular} {Factors} of {Regular} {Graphs} on 8 {Vertices}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {171 },
     year = {1981},
     volume = {_N_S_29},
     number = {43},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1981_N_S_29_43_a19/}
}
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Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

In this paper we shall find all nonisomorphic factorizations of all regular graphs on 8 vertices into two regular factors without the use of a computer (as a contrast to [1]). These factorizations are significant since they produce regular graphs with the least eigenvalue $-2$ which are neither line-graphs nor cocktail-party graphs but which are cospectral to line-graphs (cf [1]).