RAS PresidiumДоклады Российской академии наук. Математика, информатика, процессы управления Doklady Mathematics

  • ISSN (Print) 2686-9543
  • ISSN (Online) 3034-5049

WEAKLY SSATURATED SUBGRAPHS OF RANDOM GRAPHS

PII
10.31857/S268695432370008X-1
DOI
10.31857/S268695432370008X
Publication type
Status
Published
Authors
Volume/ Edition
Volume 509 / Issue number 1
Pages
46-49
Abstract
In this paper, we study weak saturation numbers of binomial random graphs. We proved stability of the weak saturation for several pattern graphs, and proved asymptotic stability for all pattern graphs.
Keywords
случайный граф число слабого насыщения бутстрап перколяция
Date of publication
17.09.2025
Year of publication
2025
Number of purchasers
0
Views
13

References

  1. 1. Alon N. An extremal problem for sets with applications to graph theory // J. Combin. Theory Ser. A. 1985. V. 40. № 1. P. 82–89.
  2. 2. Bidgoli M.R., Mohammadian A., Tayfeh-Rezaie B., Zhukovskii M. Threshold for weak saturation stability // arXiv:2006.06855. 2020.
  3. 3. Bollobás B. Weakly k-saturated graphs // Beiträge zur Graphen–theorie. 1968. P. 25–31.
  4. 4. Kalai G. Hyperconnectivity of graphs // Graphs Combin. 1985 V. 1. P. 65–79.
  5. 5. Kalinichenko O., Zhukovskii M. Weak saturation stability // arXiv:2107.11138. 2022.
  6. 6. Korándi D., Sudakov B. Saturation in random graphs // Random Structures Algorithms. 2017. V. 51. № 1. P. 169–181.
  7. 7. Krivelevich M., Patkós B. Equitable coloring of random graphs // Random Structures Algorithms. 2009. V. 35. № 1. P. 83–99.
  8. 8. Kronenberg, G., Martins T., Morrison N. Weak saturation numbers of complete bipartite graphs in the clique // J. Combin. Theory Ser. A. 2021. V. 178. 105357.
  9. 9. Lovász, L. Flats in matroids and geometric graphs // Combinatorial Surveys. 1977. P. 45–86.
  10. 10. Spencer J. Threshold Functions for Extension Statements // J. Combin. Theory Ser. A. 1990. V. 53. P. 286–305.
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At the Ministry of Education and Science of the Russian Federation

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Scientific Electronic Library