Geodesic
Random constructions of hypergraphs with large girth and without panchromatic colorings
Fundamentalʹnaâ i prikladnaâ matematika, Tome 23 (2020) no. 1, pp. 269-283

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We give probabilistic constructions of hypergraphs with large girth that do not admit panchromatic colorings. We prove new upper bounds on the minimal values of the number of edges and the maximum vertex degree in such hypergraphs. 
@article{FPM_2020_23_1_a15,
     author = {A. E. Khuzieva},
     title = {Random constructions of hypergraphs with large girth and without panchromatic colorings},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {269--283},
     publisher = {mathdoc},
     volume = {23},
     number = {1},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2020_23_1_a15/}
}
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A. E. Khuzieva. Random constructions of hypergraphs with large girth and without panchromatic colorings. Fundamentalʹnaâ i prikladnaâ matematika, Tome 23 (2020) no. 1, pp. 269-283. http://geodesic.mathdoc.fr/item/FPM_2020_23_1_a15/