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The maximum degree of random planar graphs

  • Published:2014-06-17 Issue:4 Volume:109 Page:892-920
  • ISSN:0024-6115
  • Container-title:Proceedings of the London Mathematical Society
  • language:en
  • Short-container-title:Proceedings of the London Mathematical Society

Author:

Drmota M.1,Giménez O.2,Noy M.3,Panagiotou K.4,Steger A.5

Affiliation:

1. Vienna University of Technology; Wiedner Hauptstrasse 8-10 1040 Wien Austria

2. Google; 1600 Amphitheatre Pkwy Mountain View CA 94043 USA

3. Universitat Polittècnica de Catalunya; Jordi Girona 1-3 08034 Barcelona Spain

4. University of Munich; Theresienstr. 39 80333 Munich Germany

5. Institute of Theoretical Computer Science; ETH Zürich; 8092 Zürich Switzerland

Publisher

Wiley

Subject

General Mathematics

Reference29 articles.

1. The number of labeled 2-connected planar graphs;Bender;Electron. J. Combin.,2002

2. The degree sequence of random graphs from subcritical classes;Bernasconi;Combin. Probab. Comput.,2009

3. On properties of random dissections and triangulations;Bernasconi;Combinatorica,2010

4. Boltzmann samplers, Pólya theory, and cycle pointing;Bodirsky;SIAM J. Comput.,2011

5. A direct decomposition of 3-connected planar graphs;Bodirsky;Sém. Lothar. Combin.,2005/07

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1. Asymptotic enumeration and limit laws for multisets: The subexponential case;Annales de l'Institut Henri Poincaré, Probabilités et Statistiques;2024-02-01

2. Random cubic planar graphs converge to the Brownian sphere;Electronic Journal of Probability;2023-01-01

3. Concentration of maximum degree in random planar graphs;Journal of Combinatorial Theory, Series B;2022-09

4. Local convergence of random planar graphs;Journal of the European Mathematical Society;2021-11-17

5. Local Convergence of Random Planar Graphs;Trends in Mathematics;2021
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