Analysis of size of the largest dense subgraph of random hypergraph

Autor: N. N. Kuzyrin, D. O. Lazarev
Jazyk: English<br />Russian
Rok vydání: 2018
Předmět:
Zdroj: Труды Института системного программирования РАН, Vol 29, Iss 6, Pp 213-220 (2018)
Druh dokumentu: article
ISSN: 2079-8156
2220-6426
DOI: 10.15514/ISPRAS-2017-29(6)-12
Popis: Random networks are often described using Erdos-Renyi model of random graph . The concept of graph density is often used in random network analysis. In this article, the maximal size of c-dense subgraph almost surely included in random graph was evaluated. It was shown, that if , then is almost surely c-dense; the upper and lower bounds for the size of maximal -dense subgraph almost surely included in were determined; in case when , the upper bound for the maximal size of c-dense subgraph almost surely included in was attained.
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