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arXiv · 1708.08242

An algebraic Monte-Carlo algorithm for the Partition Adjacency Matrix realization problem

Eva Czabarka·Laszlo A. Szekely·Zoltan Toroczkai·Shanise Walker
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Abstract

The graphical realization of a given degree sequence and given partition adjacency matrix simultaneously is a relevant problem in data driven modeling of networks. Here we formulate common generalizations of this problem and the Exact Matching Problem, and solve them with an algebraic Monte-Carlo algorithm that runs in polynomial time if the number of partition classes is bounded.

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Eva Czabarka, Laszlo A. Szekely, Zoltan Toroczkai, Shanise Walker. 2018-02-20. An algebraic Monte-Carlo algorithm for the Partition Adjacency Matrix realization problem. https://doi.org/10.2140/astat.2021.12.115

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