Python 3 implementation and documentation of the Hermina-Janos local graph clustering algorithm.
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The project implements multiple variations of a local graph clustering algorithm named the Hermina-Janos algorithm in memory of my beloved grandparents.

Graph cluster analysis is used in a wide variety of fields. This project does not target one specific field, instead it aims to be a general tool for graph cluster analysis for cases where global cluster analysis is not applicable or practical for example because of the size of the data set or because a different (local) perspective is required.

The algorithms are independent of the cluster definition. The interface cluster definitions must implement can be found in the definitions package along with a simple connectivity based cluster definition implementation. Besides the algorithms and the cluster definition, other utilities are also provided, most notably a module for node ranking.


  1. Install the latest version of the project from the Python Package Index using pip install localclustering.
  2. The only dependency of this project is the graphscraper project. graphscraper should already be installed after pip install localclustering, but it has optional dependencies, one of which must be available on your system:
    • SQLAlchemy: It can be installed with pip install SQLAlchemy.
    • Flask-SQLAlchemy: It can be installed with pip install Flask-SQLAlchemy.

Getting started

This section will guide you through the basics using SQLAlchemy and the IGraphWrapper graph implementation from graphscraper. IGraphWrapper requires the igraph project to be installed. You can do this by following the instructions on this page.

Once everything is in place, the analyzed graph can be created:

import igraph
from graphscraper.igraphwrapper import IGraphWrapper

graph = IGraphWrapper(igraph.Graph.Famous("Zachary"))

The next step is the creation of the cluster definition and the preparation of the clustering algorithm:

from localclustering.definitions.connectivity import ConnectivityClusterDefinition
from localclustering.localengine import LocalClusterEngine

cluster_definition = ConnectivityClusterDefinition(1.5, 0.85)
local_cluster_engine = LocalClusterEngine(
    cluster_definition,  # The cluster definition the algorithm should use.
    source_nodes_in_result=True,  # Ensure that source nodes are not removed from the cluster.
    max_cluster_size=34  # Specify an upper limit for the calculated cluster's size.

Now the source node of the clustering must be retrieved:

source_node = graph.nodes.get_node_by_name("2", can_validate_and_load=True)

And finally the cluster analysis can be executed:

cluster = local_cluster_engine.cluster([source_node])

Additionally you can list the nodes inside the cluster with their rank to get an overview of the result:

rank_provider = local_cluster_engine.get_rank_provider()
for node in cluster.nodes:
    print(node.igraph_index, rank_provider.get_node_rank(node))

Example visualization of the result: the source node is diamond shaped, red nodes are part of the cluster, light blue nodes mark the neighborhood of the cluster, and the size of nodes correspond to their rank.

Additional resources

In addition to the software, a detailed description and an in-depth evaluation of the algorithms is also provided.

Furthermore, a demo module showing the basic usage of the project is also available.

Community guidelines

Any form of constructive contribution is welcome:

  • Questions, feedback, bug reports: please open an issue in the issue tracker of the project or contact the repository owner by email, whichever you feel appropriate.
  • Contribution to the software: please open an issue in the issue tracker of the project that describes the changes you would like to make to the software and open a pull request with the changes. The description of the pull request must references the corresponding issue.

The following types of contribution are especially appreciated:

  • Implementation of new cluster definitions.
  • Result comparison with global clustering algorithms on well-known and -analyzed graphs.
  • Analysis of how cluster definitions should be configured for graphs with different characteristics.
  • Analysis of how the weighting coefficients of the connectivity based cluster definition corresponding to the different hierarchy levels relate to each-other in different real-world graphs.

License - GNU AGPLv3

The library is open-sourced under the conditions of the GNU Affero General Public License v3.0, which is the strongest copyleft license. The reason for using this license is that this library is the "publication" of the Hermina-Janos algorithm and it should be referenced accordingly.