Enviar artigo por via de e-mail ON THE SIZES OF k-SUBGRAPHS OF THE BINOMIAL RANDOM GRAPH
- Autores: Yarovikov Y.N1
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Afiliações:
- Moscow Institute of Physics and Technology (National Research University)
- Edição: Volume 523, Nº 1 (2025)
- Páginas: 71-74
- Seção: MATHEMATICS
- URL: https://ogarev-online.ru/2686-9543/article/view/305349
- DOI: https://doi.org/10.7868/S3034504925030128
- EDN: https://elibrary.ru/JSYCAQ
- ID: 305349
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Somente assinantes
Resumo
Consider E(G, k) — the set of all sizes (numbers of edges) of induced subgraphs of size k in a given graph G with n vertices. For the binomial random graph G = G(n, p), we proved that, for each α > 0 and ε small enough, the set E(G, k) with high probability contains a large segment for all k such that (ln n)1+α < k < εn. We also found the asymptotic length of this segment.
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Sobre autores
Y. Yarovikov
Moscow Institute of Physics and Technology (National Research University)
Email: yu-rovikov@yandex.ru
Dolgoprudny, Moscow Region, Russia
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Nota
In the print version, the article was published under the DOI: 10.31857/S2686954325030128