Projects per year
Abstract
We survey results on counting graphs with given degree sequence, focusing on asymptotic results, and mentioning some of the applications of these results. The main recent development is the proof of a conjecture that facilitates access to the degree sequence of a random graph via a model incorporating independent binomial random variables. The basic method used in the proof was to examine the changes in the counting function when the degrees are perturbed. We compare with several previous uses of this type of method.
| Original language | English |
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| Title of host publication | Proceedings of the International Congress of Mathematicians, ICM 2018 |
| Subtitle of host publication | 2018 International Congress of Mathematicians, ICM 2018; Rio de Janeiro; Brazil; 1 August 2018 through 9 August 2018 |
| Editors | Boyan Sirakov, Paulo Ney de Souza, Marcelo Viana |
| Place of Publication | Singapore |
| Publisher | World Scientific Publishing |
| Pages | 3263-3284 |
| Number of pages | 22 |
| Volume | 4 |
| ISBN (Electronic) | 9789813272934 |
| DOIs | |
| Publication status | Published - 1 Jan 2018 |
| Event | International Congress of Mathematicians, 2018 - Barra da Tijuca, Rio de Janeiro, Brazil Duration: 1 Aug 2018 → 9 Aug 2018 https://icm2018.impa.br/portal/main.html |
Publication series
| Name | Proceedings of the International Congress of Mathematicians, ICM 2018 |
|---|---|
| Volume | 4 |
Conference
| Conference | International Congress of Mathematicians, 2018 |
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| Abbreviated title | ICM 2018 |
| Country | Brazil |
| City | Rio de Janeiro |
| Period | 1/08/18 → 9/08/18 |
| Internet address |
Projects
- 1 Finished
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Advances in the analysis of random structures and their applications: relationships among models
Australian Research Council (ARC)
1/08/12 → 31/12/17
Project: Research