The number of graphs and a random graph with a given degree sequence
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Publication:4921886
DOI10.1002/rsa.20409zbMath1264.05125arXiv1003.0356OpenAlexW2004542856MaRDI QIDQ4921886
J. A. Hartigan, Alexander I. Barvinok
Publication date: 28 May 2013
Published in: Random Structures & Algorithms (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1003.0356
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Cites Work
- Random graphs with a given degree sequence
- Limits of dense graph sequences
- On the number of matrices and a random matrix with prescribed row and column sums and 0-1 entries
- Matrix integrals and map enumeration: an accessible introduction
- Maximum entropy Gaussian approximations for the number of integer points and volumes of polytopes
- Asymptotic enumeration by degree sequence of graphs of high degree
- Asymptotic enumeration of dense 0-1 matrices with specified line sums
- Asymptotic enumeration of dense 0-1 matrices with equal row sums and equal column sums
- Subgraphs of Dense Random Graphs with Specified Degrees
- Random dense bipartite graphs and directed graphs with specified degrees
- Reverse Holder Inequalities for Spherical Harmonics
- Asymptotic Estimates for the Number of Contingency Tables, Integer Flows, and Volumes of Transportation Polytopes