Sampling hypergraphs with given degrees

M Dyer, C Greenhill, P Kleer, J Ross, L Stougie - Discrete Mathematics, 2021 - Elsevier
There is a well-known connection between hypergraphs and bipartite graphs, obtained by
treating the incidence matrix of the hypergraph as the biadjacency matrix of a bipartite …

Generating graphs randomly

C Greenhill - arXiv preprint arXiv:2201.04888, 2022 - arxiv.org
Graphs are used in many disciplines to model the relationships that exist between objects in
a complex discrete system. Researchers may wish to compare a network of interest to a" …

A fast MCMC algorithm for the uniform sampling of binary matrices with fixed margins

G Wang - 2020 - projecteuclid.org
Uniform sampling of binary matrix with fixed margins is an important and difficult problem in
statistics, computer science, ecology and so on. The well-known swap algorithm would be …

Rapid mixing of the switch Markov chain for strongly stable degree sequences and 2-class joint degree matrices

G Amanatidis, P Kleer - Proceedings of the Thirtieth Annual ACM-SIAM …, 2019 - SIAM
The switch Markov chain has been extensively studied as the most natural Markov Chain
Monte Carlo approach for sampling graphs with prescribed degree sequences. We use …

Rapid mixing of the switch Markov chain for strongly stable degree sequences

G Amanatidis, P Kleer - Random Structures & Algorithms, 2020 - Wiley Online Library
The switch Markov chain has been extensively studied as the most natural Markov chain
Monte Carlo approach for sampling graphs with prescribed degree sequences. We show …

fastball: A fast algorithm to randomly sample bipartite graphs with fixed degree sequences

K Godard, ZP Neal - Journal of Complex Networks, 2022 - academic.oup.com
Many applications require randomly sampling bipartite graphs with fixed degrees or
randomly sampling incidence matrices with fixed row and column sums. Although several …

Speeding up switch Markov chains for sampling bipartite graphs with given degree sequence

CJ Carstens, P Kleer - Approximation, Randomization, and …, 2018 - drops.dagstuhl.de
We consider the well-studied problem of uniformly sampling (bipartite) graphs with a given
degree sequence, or equivalently, the uniform sampling of binary matrices with fixed row …

Parallel global edge switching for the uniform sampling of simple graphs with prescribed degrees

D Allendorf, U Meyer, M Penschuck, H Tran - Journal of Parallel and …, 2023 - Elsevier
The uniform sampling of simple graphs matching a prescribed degree sequence is an
important tool in network science, eg to construct graph generators or null-models. Here, the …

Rapid mixing of the switch Markov chain for 2-class joint degree matrices

G Amanatidis, P Kleer - SIAM Journal on Discrete Mathematics, 2022 - SIAM
The switch Markov chain has been extensively studied as the most natural Markov chain
Monte Carlo approach for sampling graphs with prescribed degree sequences. In this work …

Approximate sampling and counting of graphs with near-regular degree intervals

G Amanatidis, P Kleer - arXiv preprint arXiv:2110.09068, 2021 - arxiv.org
The approximate uniform sampling of graphs with a given degree sequence is a well-known,
extensively studied problem in theoretical computer science and has significant …