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diff --git a/src/python/test/test_cover_complex.py b/src/python/test/test_cover_complex.py
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+++ b/src/python/test/test_cover_complex.py
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+from gudhi import CoverComplex
+
+""" This file is part of the Gudhi Library - https://gudhi.inria.fr/ - which is released under MIT.
+    See file LICENSE or go to https://gudhi.inria.fr/licensing/ for full license details.
+    Author(s):       Vincent Rouvreau
+
+    Copyright (C) 2018 Inria
+
+    Modification(s):
+      - YYYY/MM Author: Description of the modification
+"""
+
+__author__ = "Vincent Rouvreau"
+__copyright__ = "Copyright (C) 2018 Inria"
+__license__ = "MIT"
+
+
+def test_empty_constructor():
+    # Try to create an empty CoverComplex
+    cover = CoverComplex()
+    assert cover.__is_defined() == True
+
+
+def test_non_existing_file_read():
+    # Try to open a non existing file
+    cover = CoverComplex()
+    assert cover.read_point_cloud("pouetpouettralala.toubiloubabdou") == False
+
+
+def test_files_creation():
+    # Create test file
+    cloud_file = open("cloud", "w")
+    cloud_file.write("nOFF\n3\n3 0 0\n0 0 0\n2 1 0\n4 0 0")
+    cloud_file.close()
+    cover_file = open("cover", "w")
+    cover_file.write("1\n2\n3")
+    cover_file.close()
+    graph_file = open("graph", "w")
+    graph_file.write("0 1\n0 2\n1 2")
+    graph_file.close()
+
+
+def test_nerve():
+    nerve = CoverComplex()
+    nerve.set_type("Nerve")
+    assert nerve.read_point_cloud("cloud") == True
+    nerve.set_color_from_coordinate()
+    nerve.set_graph_from_file("graph")
+    nerve.set_cover_from_file("cover")
+    nerve.find_simplices()
+    stree = nerve.create_simplex_tree()
+
+    assert stree.num_vertices() == 3
+    assert (stree.num_simplices() - stree.num_vertices()) == 0
+    assert stree.dimension() == 0
+
+
+def test_graph_induced_complex():
+    gic = CoverComplex()
+    gic.set_type("GIC")
+    assert gic.read_point_cloud("cloud") == True
+    gic.set_color_from_coordinate()
+    gic.set_graph_from_file("graph")
+    gic.set_cover_from_file("cover")
+    gic.find_simplices()
+    stree = gic.create_simplex_tree()
+
+    assert stree.num_vertices() == 3
+    assert (stree.num_simplices() - stree.num_vertices()) == 4
+    assert stree.dimension() == 2
+
+
+def test_voronoi_graph_induced_complex():
+    gic = CoverComplex()
+    gic.set_type("GIC")
+    assert gic.read_point_cloud("cloud") == True
+    gic.set_color_from_coordinate()
+    gic.set_graph_from_file("graph")
+    gic.set_cover_from_Voronoi(2)
+    gic.find_simplices()
+    stree = gic.create_simplex_tree()
+
+    assert stree.num_vertices() == 2
+    assert (stree.num_simplices() - stree.num_vertices()) == 1
+    assert stree.dimension() == 1