Geodesic
On realizability of a graph as the prime graph of a finite group
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 11 (2014), pp. 246-257

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The problem of the realizability of a graph as the prime graph (the Gruenberg–Kegel graph) of a finite group is considered. This problem is completely solved for graphs with at most five vertices.
Keywords: finite group, prime graph (Gruenberg–Kegel graph), realizability of a graph. 
@article{SEMR_2014_11_a5,
     author = {A. L. Gavrilyuk and I. V. Khramtsov and A. S. Kondrat'ev and N. V. Maslova},
     title = {On realizability of a graph as the prime graph of a finite group},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {246--257},
     publisher = {mathdoc},
     volume = {11},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2014_11_a5/}
}
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A. L. Gavrilyuk; I. V. Khramtsov; A. S. Kondrat'ev; N. V. Maslova. On realizability of a graph as the prime graph of a finite group. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 11 (2014), pp. 246-257. http://geodesic.mathdoc.fr/item/SEMR_2014_11_a5/