Largest component of subcritical random graphs with given degree sequence-Reference-Cited by-同舟云学术

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Largest component of subcritical random graphs with given degree sequence

Published:2023-01-01 Issue:none Volume:28 Page:
ISSN:1083-6489
Container-title:Electronic Journal of Probability
language:
Short-container-title:Electron. J. Probab.

Author:

Coulson Matthew¹,Perarnau Guillem²

Affiliation:

1. Departament de Matemàtiques (MAT), Universitat Politècnica de Catalunya (UPC), Barcelona, Spain

2. Departament de Matemàtiques (MAT) and IMTECH, Universitat Politècnica de Catalunya (UPC), Barcelona, Spain. Centre de Recerca Matemàtica, Barcelona, Spain

Publisher

Institute of Mathematical Statistics

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference26 articles.

1. B. Bollobás. A probabilistic proof of an asymptotic formula for the number of labelled regular graphs. Europ. J. Combin., 1(4):311–316, 1980. doi: 10/ggktcq.

2. B. Bollobás and O. Riordan. An old approach to the giant component problem. J. Combin. Theory (Series B), 113:236–260, 2015. doi: 10/gjs3rw.

3. S. Dhara, R. van der Hofstad, J. S. van Leeuwaarden, S. Sen, et al. Critical window for the configuration model: finite third moment degrees. Electron. J. Probab., 22:1–33, 2017. doi: 10/f9vx9f.

4. S. Dhara, R. van der Hofstad, J. S. van Leeuwaarden, and S. Sen. Heavy-tailed configuration models at criticality. Ann. Inst. H. Poincaré Probab. Statist., 56(3):1515–1558, 2020. doi: 10/jwkb.

5. R. A. Doney. One-sided local large deviation and renewal theorems in the case of infinite mean. Probability theory and related fields, 107(4):451–465, 1997.

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