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arXiv · 1703.07340

Construction of Directed 2K Graphs

Bálint Tillman·Athina Markopoulou·Carter T. Butts·Minas Gjoka
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Abstract

We study the problem of constructing synthetic graphs that resemble real-world directed graphs in terms of their degree correlations. We define the problem of directed 2K construction (D2K) that takes as input the directed degree sequence (DDS) and a joint degree and attribute matrix (JDAM) so as to capture degree correlation specifically in directed graphs. We provide necessary and sufficient conditions to decide whether a target D2K is realizable, and we design an efficient algorithm that creates realizations with that target D2K. We evaluate our algorithm in creating synthetic graphs that target real-world directed graphs (such as Twitter) and we show that it brings significant benefits compared to state-of-the-art approaches.

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Bálint Tillman, Athina Markopoulou, Carter T. Butts, Minas Gjoka. 2017-03-21. Construction of Directed 2K Graphs. https://arxiv.org/abs/1703.07340

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