# Approximate Sampling and Counting of Graphs with Near-Regular Degree Intervals

@article{Amanatidis2021ApproximateSA, title={Approximate Sampling and Counting of Graphs with Near-Regular Degree Intervals}, author={Georgios Amanatidis and Pieter Kleer}, journal={ArXiv}, year={2021}, volume={abs/2110.09068} }

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 applications, e.g., in the analysis of social networks. In this work we study an extension of the problem, where degree intervals are specified rather than a single degree sequence. We are interested in sampling and counting graphs whose degree sequences satisfy the degree interval constraints. A natural scenario where this…

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