In random causal DAGs generated by imposing order on Erdős-Rényi and scale-free graphs, the number of relatives increases monotonically along the causal order, enabling order recovery via sorting and implying singular Markov equivalence classes under strict monotonicity.
Causal Discovery between time series
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A Topological Sorting Criterion for Random Causal Directed Acyclic Graphs
In random causal DAGs generated by imposing order on Erdős-Rényi and scale-free graphs, the number of relatives increases monotonically along the causal order, enabling order recovery via sorting and implying singular Markov equivalence classes under strict monotonicity.