# Witness complex reference manual¶

class gudhi.WitnessComplex

Bases: object

Constructs (weak) witness complex for a given table of nearest landmarks with respect to witnesses.

__init__()

WitnessComplex constructor.

Parameters

nearest_landmark_table (list of list of pair of int and float) – A list of lists of nearest landmarks and their distances. nearest_landmark_table[w][k]==(l,d) means that l is the k-th nearest landmark to witness w, and d is the (squared) distance between l and w.

create_simplex_tree()
Parameters

max_alpha_square (float) – The maximum relaxation parameter. Default is set to infinity.

Returns

A simplex tree created from the Delaunay Triangulation.

Return type

SimplexTree