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Cherkashin, Danila Dmitrievich

Statistics
in MathSciNet: 6 (6)
in zbMATH: 3 (3)
in Web of Science: 4 (4)
in Scopus: 4 (4)
Associate professor
Candidate of physico-mathematical sciences
Birth date: 12.10.1992
E-mail:
Keywords: Hypergraph coloring, chromatic numbers of metric spaces, Steiner problem, maximal distance minimizers

Subject:

Combinatorics, combinatoric geometry, geometric optimization

   
Main publications:
  1. D. Cherkashin, S. Kiselev, “Independence Numbers of Johnson-Type Graphs”, Bulletin of the Brazilian Mathematical Society, New Series, 54:3 (2023), 30  crossref
  2. D. Cherkashin, Y. Teplitskaya, “A Self-Similar Infinite Binary Tree Is a Solution to the Steiner Problem”, Fractal and Fractional, 7:5 (2023), 414  crossref
  3. A. M. Raigorodskii, D. D. Cherkashin, “Extremal problems in hypergraph colourings”, Russian Math. Surveys, 75:1 (2020), 89–146  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
  4. D. Cherkashin, F. Petrov,, “Regular behavior of the maximal hypergraph chromatic number”, SIAM Journal on Discrete Mathematics, 34:2 (2020), 1326–1333  crossref
  5. D. Cherkashin, Y. Teplitskaya, “On the horseshoe conjecture for maximal distance minimizers”, ESAIM: Control, Optimisation and Calculus of Variations, 24:3 (2018), 1015–1041  crossref
  6. D. D. Cherkashin, J. Kozik, “A note on random greedy coloring of uniform hypergraphs”, Random Structures & Algorithms, 47:3 (2015), 407–413  crossref  mathscinet  zmath  isi  scopus

https://www.mathnet.ru/eng/person111820
List of publications on Google Scholar
https://elibrary.ru/author_items.asp?spin=3119-3707
https://orcid.org/0000-0002-8716-9794
https://www.webofscience.com/wos/author/record/HSH-5336-2023
https://www.scopus.com/authid/detail.url?authorId=37060672700

Full list of publications: Download file (70 kB)

List of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)

   2025
1. P. K. Prozorov, D. D. Cherkashin, “On stability of weighted spanning tree degree enumerators”, Izv. Math., 89:1 (2025), 106–124  mathnet  crossref  crossref  mathscinet  adsnasa  isi  scopus
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  crossref
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  crossref
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)  mathnet  crossref
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  crossref 1
7. M. Basok, D. Cherkashin, N. Rastegaev, Y. Teplitskaya, “On uniqueness in Steiner problem”, International Mathematics Research Notices, 10 (2024), 8819–8838  crossref 1
8. Cherkashin, D., Gordeev, A. & Strukov, G., “Erdős–Hajnal Problem for $H$-Free Hypergraphs”, Graphs and Combinatorics, 40 (2024), ¹10  crossref
9. D. Cherkashin, “On set systems without singleton intersections”, Discrete Mathematics Letters, 14 (2024), 85-88  crossref 1

   2023
10. D. Cherkashin, F. Petrov, P. Prozorov, “On stability of spanning tree degree enumerators”, Discrete Mathematics, 346:12 (2023), 113629  crossref 2
11. D. Cherkashin, S. Kiselev, “Independence Numbers of Johnson-Type Graphs”, Bulletin of the Brazilian Mathematical Society, New Series, 54:3 (2023), 30  crossref
12. D. Cherkashin, Y. Teplitskaya, “A Self-Similar Infinite Binary Tree Is a Solution to the Steiner Problem”, Fractal and Fractional, 7:5 (2023), 414  crossref 2
13. 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  crossref

   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  mathnet  mathscinet
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  mathnet
16. M. Antipov, D. Cherkashin, “Lovász theta approach to eventown problem”, Linear Algebra and its Applications, 655 (2022), 302–313  crossref 1
17. 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  crossref
18. Cherkashin D. D., Gordeev A. S, “On list chromatic numbers of 2-colorable hypergraphs”, Trudy MFTI, 14:1 (53) (2022), 49–57  crossref

   2020
19. A. M. Raigorodskii, D. D. Cherkashin, “Extremal problems in hypergraph colourings”, Russian Math. Surveys, 75:1 (2020), 89–146  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
20. D. Cherkashin, F. Petrov,, “Regular behavior of the maximal hypergraph chromatic number”, SIAM Journal on Discrete Mathematics, 34:2 (2020), 1326–1333  crossref 3

   2021
21. D. .D. Cherkashin, “On the Erdös–Hajnal problem for 3-graphs”, Journal of Mathematical Sciences, 255 (2021), 103–108  mathnet  crossref

   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  crossref 38
23. D. Cherkashin, F. Petrov, “On small $n$-uniform hypergraphs with positive discrepancy”, Journal of Combinatorial Theory, Series B, 139 (2019), 353–359  crossref 13

   2018
24. D. Cherkashin, A. Kulikov, A. Raigorodskii, “On the chromatic numbers of small-dimensional Euclidean spaces”, Discrete Applied Mathematics, 243 (2018), 125–131  crossref 42
25. D. Cherkashin, “Coloring cross-intersecting families”, The Electronic Journal of Combinatorics, 25:1 (2018), P1.47  crossref 3
26. D. Cherkashin, “A note on panchromatic colorings”, Discrete Mathematics, 341 (2018), 652–657  crossref 12
27. D. Cherkashin, Y. Teplitskaya, “On the horseshoe conjecture for maximal distance minimizers”, ESAIM: Control, Optimisation and Calculus of Variations, 24:3 (2018), 1015–1041  crossref 1
28. 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  mathnet  crossref  mathscinet  isi  elib  scopus

   2017
29. D. Cherkashin, S. Kryzhevich, “Weak forms of shadowing in topological dynamics”, Topological Methods in Nonlinear Analysis, 50:1 (2017), 125–150  crossref

   2015
30. D. D. Cherkashin, J. Kozik, “A note on random greedy coloring of uniform hypergraphs”, Random Structures & Algorithms, 47:3 (2015), 407–413  crossref  mathscinet  zmath  isi  scopus 30

   2012
31. 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  elib

   2011
32. D. D. Cherkashin, “On hypergraph cliques with chromatic number 3”, Moscow Journal of Combinatorics and Number Theory, 1:3 (2011), 3–11  mathscinet  zmath
33. D. D. Cherkashin, A. B. Kulikov, O dvukhtsvetnykh raskraskakh gipergrafov, Doklady Akademii nauk, 436, no. 3, 2011  mathscinet  elib

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
2. Îòêðûòûå çàäà÷è â ðàñêðàñêàõ ãèïåðãðàôîâ
D. D. Cherkashin
Contemporary Problems in Number Theory
April 6, 2023 12:45   
3. Maximal distance minimizers for rectangle
D. D. Cherkashin

April 13, 2020 15:40   
4. Extremal problems in hypergraph colorings
D. D. Cherkashin
St. Petersburg Seminar on Representation Theory and Dynamical Systems
March 14, 2018 17:00
5. Ýêñòðåìàëüíûå çàäà÷è â ðàñêðàñêàõ ãèïåðãðàôîâ
D. D. Cherkashin
Dobrushin Mathematics Laboratory Seminar
December 19, 2017 16:00
6. Colorings of n-homogeneous hypergraphs
D. Cherkashin
St. Petersburg Seminar on Representation Theory and Dynamical Systems
April 22, 2015 17:00

Organisations