# networkx.algorithms.operators.product.tensor_product¶

tensor_product(G, H)[source]

Returns the tensor product of G and H.

The tensor product $$P$$ of the graphs $$G$$ and $$H$$ has a node set that is the tensor product of the node sets, $$V(P)=V(G) \times V(H)$$. $$P$$ has an edge $$((u,v), (x,y))$$ if and only if $$(u,x)$$ is an edge in $$G$$ and $$(v,y)$$ is an edge in $$H$$.

Tensor product is sometimes also referred to as the categorical product, direct product, cardinal product or conjunction.

Parameters

G, H (graphs) – Networkx graphs.

Returns

P – The tensor product of G and H. P will be a multi-graph if either G or H is a multi-graph, will be a directed if G and H are directed, and undirected if G and H are undirected.

Return type

NetworkX graph

Raises

NetworkXError – If G and H are not both directed or both undirected.

Notes

Node attributes in P are two-tuple of the G and H node attributes. Missing attributes are assigned None.

Examples

>>> G = nx.Graph()
>>> H = nx.Graph()