| analyze_topology_factors | Analyze topology characteristics for different IQR factors |
| bitopology_invariants | Compute bitopological invariants from forward and backward topologies |
| calculate_thresholds | Calculate multiple threshold methods for topology analysis |
| calculate_topology | Calculate topology base size for a given threshold |
| complete_topology | Create a complete-graph topology from data |
| generate_alexandrov_topology | Generate the Alexandrov topology from a directed visibility graph |
| generate_bitopology | Generate a bitopological analysis from a time series |
| generate_topology | Generate a topology from a graph's neighborhood structure |
| horizontal_visibility_graph | Construct the Horizontal Visibility Graph of a time series |
| is_topology_connected | Check if a topology is connected using undirected graph approach |
| is_topology_connected2 | Check if a topology is connected using directed graph approach |
| is_topology_connected_exact | Check topological connectivity of an existing topology |
| is_topology_connected_manual | Check if all elements are covered by the topology |
| natural_visibility_graph | Construct the Natural Visibility Graph of a time series |
| simplest_topology | Create the discrete topology (completely disconnected) |
| visualize_topology_thresholds | Visualize and compare different threshold methods |