put-asunder 0.1.1

Asunder: Constrained Structure Detection on Undirected Graphs.

Asunder

Asunder is a Python package for constrained network structure detection (graph clustering) on undirected graphs, with workflows centered on column generation and customizable master/subproblem pipelines. In said workflows, expensive Integer Linear Program (ILP) subproblems are replaced with heuristic clustering algorithms while ensuring that dual information from the master problem are respected. This enables the solution of a wide range of constrained structure detection (graph clustering) problems, insofar as a master problem, and any other relevant custom element, can be properly formulated. See problem fit section for more detail.

Development of Asunder is led by Andrew Allman's Process Systems Research Team at the University of Michigan.

Install

Base install:

pip install put-asunder

Optional extras:

pip install "put-asunder[graph,viz]"

Legacy heuristics (best-effort on Python 3.13):

pip install "put-asunder[legacy]"

Python Support

• Guaranteed: Python 3.10, 3.11, 3.12, 3.13 for core package.
• Guaranteed: mainstream extras (graph, viz) on Python 3.10–3.13.
• Best-effort: legacy extra on Python 3.13.

Quickstart

import numpy as np
from asunder import CSDDecomposition, CSDDecompositionConfig

A = np.array([
    [0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
    [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
    [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1],
    [0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1],
    [0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0],
    [0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0],
    [0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1],
    [0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0],
    [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0],
    [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0],
    [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0],
    [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1],
    [0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0]
], dtype=float)

cfg = CSDDecompositionConfig(
    ifc_params={"generator": lambda N, **_: [np.ones((N, N))], "num": 1, "args": {"N": A.shape[0]}},
    extract_dual=False,
    final_master_solve=False,
)

result = CSDDecomposition(config=cfg).run(A)
print(result.metadata)

Solver Setup

Asunder accepts user-provided solver objects. For Gurobi, GRB_LICENSE_FILE is used by your environment. Example:

from asunder import create_solver

solver = create_solver("gurobi_direct")

Problem Fit

Asunder works well out of the box for optimization problems where coordination or operations are coupled across space (e.g. central coupling) and/or time and those interactions can be represented as a graph over constraints.

Asunder also supports general constrained partitioning beyond these domain examples when requirements can be expressed as must-link and cannot-link constraints.

Typical fit signals:

• coupling across time periods, units, or resources
• mixed discrete-continuous structure with meaningful constraint interactions
• a useful interpretation of must-link/cannot-link or worthy-edge constraints
• value from multilevel partitioning or core-periphery structure detection

Representative domains:

• stochastic design and dispatch in energy systems
• scheduling and resource allocation in healthcare systems
• planning, routing, and location in supply chain and logistics
• network configuration and resource management in telecommunications

For a fuller guide on where default workflows are sufficient vs where customization helps, see docs/problem_fit.rst.

Customization Points

For custom problems, typical extension points are:

1. Initial feasible partition generator.
2. solve_master_problem replacement.
3. Optional heuristic or ILP subproblem replacement.
4. Optional partition refinement stage.

Constraint Graph Compatibility

For the built-in case-study evaluation workflows (run_evaluation), Asunder expects a constraint-graph pattern consistent with the provided case studies.

Required structure for run_evaluation-style workflows:

• undirected graph (typically networkx.Graph)
• node attribute constraint (string tag used for ground-truth and role grouping)
• edge attribute var_type with values "integer" or "continuous"

Commonly present (recommended) attributes:

• node attribute type (for example "constraint")
• node attribute details (metadata dict)
• edge attributes weight, variables, var_types

How these are used:

• constraint identifies core/nonlinear tags in built-in case studies
• var_type determines candidate edge sets for CP and CD_Refine paths

If you are not using run_evaluation and instead calling decomposition APIs directly, you can work from an adjacency matrix plus explicit must_link, cannot_link, and optional worthy_edges.

Examples

• Nonlinear B&P-style decomposition: examples/nonlinear_bp.py
• Custom subproblem wiring: examples/custom_subproblem.py

Documentation

Sphinx docs are scaffolded in docs/ and intended for Read the Docs deployment.

References

Asunder integrates or wraps methods from:

• networkx
• sklearn
• python-igraph / leidenalg
• scikit-network
• signed-louvain style algorithms