D. Cherkashin, S. Kiselev, “Independence Numbers of Johnson-Type Graphs”, Bulletin of the Brazilian Mathematical Society, New Series, 54:3 (2023), 30
D. Cherkashin, Y. Teplitskaya, “A Self-Similar Infinite Binary Tree Is a Solution to the Steiner Problem”, Fractal and Fractional, 7:5 (2023), 414
A. M. Raigorodskii, D. D. Cherkashin, “Extremal problems in hypergraph colourings”, Russian Math. Surveys, 75:1 (2020), 89–146
D. Cherkashin, F. Petrov,, “Regular behavior of the maximal hypergraph chromatic number”, SIAM Journal on Discrete Mathematics, 34:2 (2020), 1326–1333
D. Cherkashin, Y. Teplitskaya, “On the horseshoe conjecture for maximal distance minimizers”, ESAIM: Control, Optimisation and Calculus of Variations, 24:3 (2018), 1015–1041
D. D. Cherkashin, J. Kozik, “A note on random greedy coloring of uniform hypergraphs”, Random Structures & Algorithms, 47:3 (2015), 407–413
P. K. Prozorov, D. D. Cherkashin, “On stability of weighted spanning tree degree enumerators”, Izv. Math., 89:1 (2025), 106–124
2.
D. Cherkashin, E. Paolini, Y. Teplitskaya, “Steiner trees with infinitely many terminals on the sides of an angle”, Journal of Combinatorial Optimization, 49 (2025), #40
3.
P. Boyvalenkov, D. Cherkashin, “The kissing number in 48 dimensions for codes with certain forbidden distances is 52 416 000”, Results in Mathematics, 80:1 (2025), #3
4.
P. K. Prozorov, D. D. Cherkashin, “On the minimal sum of weights of edges in a signed edge-dominated graph”, Mat. Zametki, 118:6 (2025) (to appear)
5.
D. Cherkashin, F. Petrov, “Branching points in the planar Gilbert–Steiner problem have degree 3”, Pure and Applied Functional Analysis, 10:2, Analysis and Related Topics
Dedicated to the memory of Professor Anatoly Vershik (2025), 331–338 , arXiv: https://arxiv.org/pdf/2309.04202
2024
6.
D, Cherkashin, V. Voronov, “On the chromatic number of 2-dimensional spheres”, Discrete & Computational Geometry, 71:2 (2024), 467–479
M. Basok, D. Cherkashin, N. Rastegaev, Y. Teplitskaya, “On uniqueness in Steiner problem”, International Mathematics Research Notices, 10 (2024), 8819–8838
D. Cherkashin, “On small non-uniform hypergraphs without property B”, MATHEMATICS AND EDUCATION IN MATHEMATICS, Proceedings of the Fifty Second Spring Conference of the Union of Bulgarian Mathematicians (Borovets, April 10–14, 2023), Union of Bulgarian Mathematicians, 2023, 71–75
2022
14.
D. D. Cherkashin, “On the chromatic numbers of Johnson-type graphs”, Combinatorics and graph theory. Part XIII, Zap. Nauchn. Sem. POMI, 518, POMI, St. Petersburg, 2022, 192–200
15.
V. A. Voronov, A. Ya. Kanel-Belov, G. A. Strukov, D. D. Cherkashin, “On the chromatic numbers of $3$-dimensional slices”, Combinatorics and graph theory. Part XIII, Zap. Nauchn. Sem. POMI, 518, POMI, St. Petersburg, 2022, 94–113
16.
M. Antipov, D. Cherkashin, “Lovász theta approach to eventown problem”, Linear Algebra and its Applications, 655 (2022), 302–313
D. Cherkashin, P. Prozorov, “On the minimal sum of edges in a signed edge-dominated graph”, The Electronic Journal of Combinatorics, 29:3 (2022), P3.38
18.
Cherkashin D. D., Gordeev A. S, “On list chromatic numbers of 2-colorable hypergraphs”, Trudy MFTI, 14:1 (53) (2022), 49–57
2020
19.
A. M. Raigorodskii, D. D. Cherkashin, “Extremal problems in hypergraph colourings”, Russian Math. Surveys, 75:1 (2020), 89–146
20.
D. Cherkashin, F. Petrov,, “Regular behavior of the maximal hypergraph chromatic number”, SIAM Journal on Discrete Mathematics, 34:2 (2020), 1326–1333
D. .D. Cherkashin, “On the Erdös–Hajnal problem for 3-graphs”, Journal of Mathematical Sciences, 255 (2021), 103–108
2019
22.
J. Balogh, D. Cherkashin, S. Kiselev, “Coloring general Kneser graphs and hypergraphs via high-discrepancy hypergraphs”, European Journal of Combinatorics, 79 (2019), 228–236
D. Cherkashin, A. Kulikov, A. Raigorodskii, “On the chromatic numbers of small-dimensional Euclidean spaces”, Discrete Applied Mathematics, 243 (2018), 125–131
D. Cherkashin, Y. Teplitskaya, “On the horseshoe conjecture for maximal distance minimizers”, ESAIM: Control, Optimisation and Calculus of Variations, 24:3 (2018), 1015–1041
A. Ya. Kanel-Belov, V. A. Voronov, D. D. Cherkashin, “On the chromatic number of infinitesimal plane layer”, St. Petersburg Math. J., 29:5 (2018), 761–775
2017
29.
D. Cherkashin, S. Kryzhevich, “Weak forms of shadowing in topological dynamics”, Topological Methods in Nonlinear Analysis, 50:1 (2017), 125–150
2015
30.
D. D. Cherkashin, J. Kozik, “A note on random greedy coloring of uniform hypergraphs”, Random Structures & Algorithms, 47:3 (2015), 407–413
D. D. Cherkashin, A. B. Kulikov, A. M. Raigorodskii, “On hypergraph cliques with chromatic number 3 and a given number of vertices”, Trudy MFTI, 4:1 (2012), 151
2011
32.
D. D. Cherkashin, “On hypergraph cliques with chromatic number 3”, Moscow Journal of Combinatorics and Number Theory, 1:3 (2011), 3–11
33.
D. D. Cherkashin, A. B. Kulikov, O dvukhtsvetnykh raskraskakh gipergrafov, Doklady Akademii nauk, 436, no. 3, 2011
Presentations in Math-Net.Ru
1.
The number of spanning trees in a graph D. D. Cherkashin Joint Mathematical seminar of Saint Petersburg State University and Peking University June 19, 2025 16:00