3.4. Example Mapper Graphs
This module contains example graphs and data to use for Reeb graph computations. Pictures of these can be seen in this notebook
- cereeberus.data.ex_mappergraphs.line(a=0, b=3, seed=None)[source]
Returns the Mapper graph of a simple line as a MapperGraph class. The endpoints have function value a and b respectively.
- Parameters:
a (int) – The function values for the two vertices in increasing order.
b (int) – The function values for the two vertices in increasing order.
seed (int) – Optional. The seed to use for the random number generator, which only controls the layout function.
- Returns:
The Mapper graph of the line.
- Return type:
- cereeberus.data.ex_mappergraphs.torus(a=0, b=1, c=4, d=5, delta=0.1, seed=None)[source]
Returns the Mapper graph of a simple upright torus as a MapperGraph class.
- Parameters:
a (int) – The integer function values for the four vertices in increasing order.
b (int) – The integer function values for the four vertices in increasing order.
c (int) – The integer function values for the four vertices in increasing order.
d (int) – The integer function values for the four vertices in increasing order.
delta (float) – Optional. The delta value to use for the Mapper graph.
seed (int) – Optional. The seed to use for the random number generator, which only controls the layout function.
- Returns:
The mapper graph of the torus.
- Return type:
Mapper
- cereeberus.data.ex_mappergraphs.dancing_man(delta=0.1, seed=None)[source]
Returns the Mapper graph of the dancing man as a MapperGraph class.
- Parameters:
seed (int) – Optional. The seed to use for the random number generator, which only controls the layout function.
- Returns:
The mapper graph of the dancing man.
- Return type:
- cereeberus.data.ex_mappergraphs.juggling_man(delta=0.1, seed=None)[source]
Returns a modified mapper graph of the juggling man as a MapperGraph class. Some vertex locations were moved to make them integers.
- Parameters:
seed (int) – Optional. The seed to use for the random number generator, which only controls the layout function.
- Returns:
The mapper graph of the juggling man.
- Return type:
- cereeberus.data.ex_mappergraphs.simple_loops(delta=0.1, seed=None)[source]
Returns the mapper graph of the simple loops example.
- Parameters:
seed (int) – Optional. The seed to use for the random number generator, which only controls the layout function.
- Returns:
The mapper graph of the simple loops example.
- Return type:
- cereeberus.data.ex_mappergraphs.simple_loops_unordered(seed=None)[source]
Returns the mapper graph of the unordered simple loops example.
- Parameters:
seed (int) – Optional. The seed to use for the random number generator, which only controls the layout function.
- Returns:
The mapper graph of the simple loops example.
- Return type:
- cereeberus.data.ex_mappergraphs.interleave_example_A(seed=None)[source]
Returns the mapper graph of the first example for the interleave function.
- Parameters:
seed (int) – Optional. The seed to use for the random number generator, which only controls the layout function.
- Returns:
The mapper graph of the first example for the interleave function.
- Return type:
- cereeberus.data.ex_mappergraphs.interleave_example_B(seed=None)[source]
Returns the mapper graph of the second example for the interleave function.
- Parameters:
seed (int) – Optional. The seed to use for the random number generator, which only controls the layout function.
- Returns:
The mapper graph of the second example for the interleave function.
- Return type:
