components

Computes various decompositions of knotted objects, namely:

• “link components” are connected components of a link, e.g. a knot has 1 link component, the Hopf link has 2 link components and the Borromean Link has 3 link components,

• “disjoint components”: are the components that do not share a common node (crossing or vertex),

• “connected sum components” are the factors of a composite knot diagram.

• “strand” a strand is either a closed component or a path between

Functions

add_unknot_in_place(k)	Add unknot to k (in place).
cut_sets(k, order[, max_cut_sets])	Finds all k-cut of a graph.
disjoint_components(K)
disjoint_components_nodes(k)
disjoint_sum(*knots[, return_relabel_dicts, ...])	Return the disjoint sum, k[0] ⊔ k[1] ⊔ .
is_connected_sum(g)	Return True if g is a connected sum diagram and False otherwise.
is_connected_sum_third_order(g)	Return True if g is a 3rd order connected sum diagram and False otherwise.
link_components_endpoints(k)	Return a list of sets of endpoints belonging to the same link component.
number_of_disjoint_components(k)
number_of_link_components(k)	Return the number of link components.