is_d_separator

is_d_separator(G, x, y, z)

Return whether node sets x and y are d-separated by z.

Parameters:

Gnx.DiGraph

A NetworkX DAG.

xnode or set of nodes

First node or set of nodes in G.

ynode or set of nodes

Second node or set of nodes in G.

znode or set of nodes

Potential separator (set of conditioning nodes in G). Can be empty set.

Returns:

bbool

A boolean that is true if x is d-separated from y given z in G.

Raises:

NetworkXError

The d-separation test is commonly used on disjoint sets of nodes in acyclic directed graphs. Accordingly, the algorithm raises a NetworkXError if the node sets are not disjoint or if the input graph is not a DAG.

NodeNotFound

If any of the input nodes are not found in the graph, a NodeNotFound exception is raised

Notes

A d-separating set in a DAG is a set of nodes that blocks all paths between the two sets. Nodes in z block a path if they are part of the path and are not a collider, or a descendant of a collider. Also colliders that are not in z block a path. A collider structure along a path is ... -> c <- ... where c is the collider node.

https://en.wikipedia.org/wiki/Bayesian_network#d-separation