Geodesic
An asymptotic upper bound for the chromatic index of random hypergraphs
Diskretnaya Matematika, Tome 23 (2011) no. 3, pp. 63-81.

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We give an asymptotic upper bound for the chromatic index of a random hypergraph in the case where the edge length of the hypergraph is an increasing function of the number of vertices of the hypergraph. 
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Yu. A. Budnikov. An asymptotic upper bound for the chromatic index of random hypergraphs. Diskretnaya Matematika, Tome 23 (2011) no. 3, pp. 63-81. http://geodesic.mathdoc.fr/item/DM_2011_23_3_a4/

[1] Pippenger N., Spencer J., “Asymptotic behavior of the chromatic index for hypergraphs”, J. Comb. Theory, 51 (1989), 24–42 | DOI | MR | Zbl

[2] Budnikov Yu. A., “Ob asimptoticheskom povedenii khromaticheskogo indeksa sluchainykh gipergrafov”, Intellektualnye sistemy, 11 (2007), 343–360 | MR

[3] Shiryaev A. N., Veroyatnost, MTsNMO, Moskva, 2004