Geodesic
On the concentration of the independence numbers of random hypergraphs
Diskretnaya Matematika, Tome 33 (2021) no. 4, pp. 32-46

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The asymptotic behavior of general independence numbers of random hypergraphs for the binomial model is studied. We prove that for some types of parameter variations the distribution of independence numbers is concentrated on two neighboring values.
Keywords: random hypergraph, independence number, second moment method. 
@article{DM_2021_33_4_a3,
     author = {I. O. Denisov and D. A. Shabanov},
     title = {On the concentration of the independence numbers of random hypergraphs},
     journal = {Diskretnaya Matematika},
     pages = {32--46},
     publisher = {mathdoc},
     volume = {33},
     number = {4},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2021_33_4_a3/}
}
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I. O. Denisov; D. A. Shabanov. On the concentration of the independence numbers of random hypergraphs. Diskretnaya Matematika, Tome 33 (2021) no. 4, pp. 32-46. http://geodesic.mathdoc.fr/item/DM_2021_33_4_a3/