Geodesic
On minimal universal graphs for hereditary classes
Diskretnaya Matematika, Tome 9 (1997) no. 2, pp. 106-115

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We consider universal graphs for hereditary classes with non-zero entropy. For an infinite sequence of such classes containing, in particular, all $k$-partite graphs, we construct asymptotically minimal universal graphs. 
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     author = {V. V. Lozin},
     title = {On minimal universal graphs for hereditary classes},
     journal = {Diskretnaya Matematika},
     pages = {106--115},
     publisher = {mathdoc},
     volume = {9},
     number = {2},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_1997_9_2_a10/}
}
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V. V. Lozin. On minimal universal graphs for hereditary classes. Diskretnaya Matematika, Tome 9 (1997) no. 2, pp. 106-115. http://geodesic.mathdoc.fr/item/DM_1997_9_2_a10/