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- About Mt-KaHyPar
- Features
- Requirements
- Building Mt-KaHyPar
- Running Mt-KaHyPar
- Using Mt-KaHyPar as a library
- Supported Objective Functions
- Improving Compile Times
- Licensing
Mt-KaHyPar is a shared-memory algorithm for partitioning graphs and hypergraphs. The balanced (hyper)graph partitioning problem asks for a partition of the node set of a (hyper)graph into k disjoint blocks of roughly the same size (usually a small imbalance is allowed by at most 1 + ε times the average block weight), while simultaneously minimizing an objective function defined on the (hyper)edges. Mt-KaHyPar can optimize the cut-net, connectivity, sum-of-external-degrees, and Steiner tree metric (see Supported Objective Functions).
The highest-quality configuration of Mt-KaHyPar computes partitions that are on par with those produced by the best sequential partitioning algorithms, while being almost an order of magnitude faster with only ten threads (e.g., when compared to KaFFPa or KaHyPar). Besides our high-quality configuration, we provide several other faster configurations that are already able to outperform most of the existing partitioning algorithms with regard to solution quality and running time. The figure below summarizes the time-quality trade-off of different hypergraph (left, connectivity metric) and graph partitioning algorithms (right, cut-net metric). The plot is based on an experiment with over 800 graphs and hypergraphs and relates the average solution quality and running time of each algorithm to the best achievable results. Points on the lower-left are considered better. Partially transparent markers indicate solvers producing more than 15% infeasible partitions (either imbalanced or timeout). For more details, we refer the reader to our publications.
Besides its fast and high-quality partitioning algorithm, Mt-KaHyPar provides many other useful features:
- Scalability: Mt-KaHyPar has excellent scaling behaviour (up to 25 with 64 threads), while increasing the number of threads does not adversely affect the solution quality.
- Deterministic Partitioning: Mt-KaHyPar offers a deterministic partitioning algorithm, ensuring consistent solutions for the same input and random seed.
- Large K Partitioning: We provide a partitioning configuration for partitioning (hyper)graphs into a large number of blocks (e.g., k > 1024).
- Graph Partitioning: Mt-KaHyPar includes optimized data structures for graph partitioning, achieving a speedup by a factor of two for plain graphs.
- Objective Functions: Mt-KaHyPar can optimize the cut-net, connectivity, and sum-of-external-degrees metric (for more details, see Supported Objective Functions)
- Mapping (Hyper)Graphs Onto Graphs: In many applications (e.g., distributed computation), the partition is assigned to a communication network that can be represented as a graph. However, conventional objective functions do not consider the topology of the target graph. We therefore provide a mode that maps the nodes of a (hyper)graph onto a target graph via the Steiner tree metric.
- Fixed Vertices: Fixed vertices are nodes that are preassigned to a particular block and are not allowed to change their block during partitioning.
Mt-KaHyPar requires:
- A 64-bit Linux, MacOS, or Windows operating system.
- A modern, C++17-ready compiler such as
g++version 7 or higher,clangversion 11.0.3 or higher, orMinGWcompiler on Windows. - The cmake build system (>= 3.21).
- The Boost - Program Options library and the boost header files (>= 1.48).
If you don't want to install boost by yourself, you can add the
-DKAHYPAR_DOWNLOAD_BOOST=Onflag to the cmake command to download, extract, and build the necessary dependencies automatically. - The Intel Thread Building Blocks library (TBB, minimum required version is OneTBB 2021.5.0).
If you don't want to install TBB by yourself, you can add the
-DKAHYPAR_DOWNLOAD_TBB=Onflag (only available on Linux) to the cmake command to download oneTBB and extract the necessary dependencies automatically. - The Portable Hardware Locality library (hwloc)
The following command will install most of the required dependencies on a Ubuntu machine:
sudo apt-get install libtbb-dev libhwloc-dev libboost-program-options-dev
The following command will install most of the required dependencies on a MacOS machine:
brew install tbb boost hwloc
The following instructions set up the environment used to build Mt-KaHyPar on Windows machines:
- Download and install MSYS2 from the official website (https://www.msys2.org/).
- Launch the
MSYS2 MinGW x64terminal. - Update the package manager database by running the following command:
pacman -Syu
- The following command will then install all required dependencies:
pacman -S make mingw-w64-x86_64-cmake mingw-w64-x86_64-gcc mingw-w64-x86_64-python3 mingw-w64-x86_64-boost mingw-w64-x86_64-tbb
Please note that Mt-KaHyPar was primarily tested and evaluated on Linux machines. While a Windows build has been provided and tested on MSYS2 using pacman to install the required dependencies, we cannot provide any performance guarantees or ensure that the Windows version is free of bugs. We are happy to accept contributions to improve Windows support.
To build Mt-KaHyPar, use the following commands:
-
Clone the repository including submodules:
git clone https://github.com/kahypar/mt-kahypar.git -
Create a build directory:
mkdir build && cd build -
Only on Windows machines:
export CMAKE_GENERATOR="MSYS Makefiles" -
Run cmake:
cmake .. --preset=<default/python/dev> -
Run make:
make MtKaHyPar -j
The build produces the executable MtKaHyPar, which can be found in build/mt-kahypar/application/.
As a user of Mt-KaHyPar, the default cmake preset is appropriate (or python for installing the Python interface).
If you work on Mt-KaHyPar or want to run benchmarks, use the dev preset.
To partition a hypergraph with our default configuration, you can use the following command:
./mt-kahypar/application/MtKaHyPar -h <path-to-hgr> --preset-type=default -t <# threads> -k <# blocks> -e <imbalance (e.g. 0.03)> -o km1
Mt-KaHyPar provides several partitioning configurations with different time-quality trade-offs. The configurations are stored in ini files located in the config folder. However, we recommend using the --preset-type command line parameter to run Mt-KaHyPar with a specific partitioning configuration:
--preset-type=<large_k/deterministic/default/quality/highest_quality>
large_k: configuration for partitioning (hyper)graphs into a large number of blocks (e.g. >= 1024 blocks)deterministic: configuration for deterministic partitioningdefault: computes good partitions very fastquality: computes high-quality partitions (uses flow-based refinement)highest_quality: highest-quality configuration (uses n-level coarsening and flow-based refinement)
The presets can be ranked from lowest to the highest-quality as follows: large_k, deterministic,
default, quality, and highest_quality.
We recommend using the default configuration to compute good partitions very fast and the quality configuration to compute high-quality solutions.
The highest_quality configuration computes better partitions than our quality configuration by 0.5% on average at the cost of a two times longer running time for medium-sized instances (up to 100 million pins).
When you have to partition a (hyper)graph into a large number of blocks (e.g., >= 1024 blocks), you can use our large_k configuration.
However, we only recommend using this if you experience high running times with one of our other configurations as this can significantly worsen the partitioning quality.
Mt-KaHyPar can optimize the cut-net, connectivity, and sum-of-external-degrees metric (see Supported Objective Functions).
-o <cut/km1/soed>
To partition a graph with Mt-KaHyPar, you can add the following command line parameters to the partitioning call:
-h <path-to-graph> --instance-type=graph --input-file-format=<metis/hmetis> -o cut
Mt-KaHyPar then uses optimized data structures for graph partitioning, which speeds up the partitioning time by a factor of two compared to our hypergraph partitioning code. Per default, we expect the input in hMetis format, but you can read graph files in Metis format via --input-file-format=metis.
To map a (hyper)graph onto a target graph with Mt-KaHyPar, you can add the following command line parameters to the partitioning call:
-g <path-to-target-graph> -o steiner_tree
The target graph is expected to be in Metis format. The nodes of the (hyper)graph are then mapped onto the nodes of the target graph, while optimizing the Steiner tree metric (see Supported Objective Functions).
Fixed vertices are nodes that are preassigned to particular block and are not allowed to change their block during partitioning. Mt-KaHyPar reads fixed vertices from a file in the hMetis fix file format, which can be provided via the following command line parameter:
-f <path-to-fixed-vertex-file>
Note that fixed vertices are only supported in our default, quality, and highest_quality configurations.
Per default, Mt-KaHyPar enforces that the weight of each block must be smaller than the average block weight (weight of the hypergraph divided by the number of blocks) times (1 + ε). However, you can provide individual target block weights for each block via
--part-weights=weight_of_block_0 weight_of_block_1 ... weight_of_block_k
Note that the sum of all individual target block weights must be larger than the total weight of all nodes.
To enable writing the partition to a file after partitioning, you can add the following command line parameters to the partitioning call:
--write-partition-file=true --partition-output-folder=<path/to/folder>
The partition file name is generated automatically based on parameters such as k, imbalance, seed and the input file name and will be located in the folder specified by --partition-output-folder. If you do not provide a partition output folder, the partition file will be placed in the same folder as the input hypergraph file.
There are several useful options that can provide you with additional insights during and after the partitioning process:
--verbose=true: Displays detailed information on the partitioning process--show-detailed-timings=true: Shows detailed sub-timings of each phase of the algorithm at the end of partitioning--enable-progress-bar=true: Shows a progress bar during the coarsening and refinement phase
If you want to change other configuration parameters manually, please run --help for a detailed description of the different program options.
We provide a simple C interface to use Mt-KaHyPar as a library, as well as a Python interface. On Linux or MacOS, the C library can be built and installed via
make install-mtkahypar # use sudo (Linux & MacOS) or run shell as an administrator (Windows) to install system-wideNote: When installing locally, the build will exit with an error due to missing permissions. However, the library is still built successfully and is available in the build folder.
To remove the library from your system use the provided uninstall target:
make uninstall-mtkahyparIf possible, the best way to integrate the C library is directly via cmake using the MtKaHyPar::mtkahypar target.
If the library is installed on the system, it can be used via find_package:
find_package(MtKaHyPar)
if(MtKaHyPar_FOUND)
add_executable(example example.cc)
target_link_libraries(example MtKaHyPar::mtkahypar)
endif()Alternatively, you can use Mt-KaHyPar directly via FetchContent:
FetchContent_Declare(
MtKaHyPar EXCLUDE_FROM_ALL
GIT_REPOSITORY https://github.com/kahypar/mt-kahypar
GIT_TAG v1.5
)
FetchContent_MakeAvailable(MtKaHyPar)
add_executable(example example.cc)
target_link_libraries(example MtKaHyPar::mtkahypar)When including Mt-KaHyPar directly, it is also possible to control static versus dynamic linking with the BUILD_SHARED_LIBS and KAHYPAR_STATIC_LINK_DEPENDENCIES cmake options
(note that static linking support is still experimental and not available for the installed library).
The library interface can be found in include/mtkahypar.h with a detailed documentation. We also provide several examples in the folder lib/examples that show how to use the library.
Here is a short example of how you can partition a hypergraph using our library interface:
#include <memory>
#include <vector>
#include <iostream>
#include <thread>
#include <mtkahypar.h>
int main(int argc, char* argv[]) {
// Initialize thread pool
mt_kahypar_initialize(
std::thread::hardware_concurrency() /* use all available cores */,
true /* activate interleaved NUMA allocation policy */ );
// Setup partitioning context
mt_kahypar_context_t* context = mt_kahypar_context_new();
mt_kahypar_load_preset(context, DEFAULT /* corresponds to MT-KaHyPar-D */);
// In the following, we partition a hypergraph into two blocks
// with an allowed imbalance of 3% and optimize the connective metric (KM1)
mt_kahypar_set_partitioning_parameters(context,
2 /* number of blocks */, 0.03 /* imbalance parameter */,
KM1 /* objective function */);
mt_kahypar_set_seed(42 /* seed */);
// Enable logging
mt_kahypar_set_context_parameter(context, VERBOSE, "1");
// Load Hypergraph for DEFAULT preset
mt_kahypar_hypergraph_t hypergraph =
mt_kahypar_read_hypergraph_from_file(
"path/to/hypergraph/file", DEFAULT, HMETIS /* file format */);
// Partition Hypergraph
mt_kahypar_partitioned_hypergraph_t partitioned_hg =
mt_kahypar_partition(hypergraph, context);
// Extract Partition
std::unique_ptr<mt_kahypar_partition_id_t[]> partition =
std::make_unique<mt_kahypar_partition_id_t[]>(mt_kahypar_num_hypernodes(hypergraph));
mt_kahypar_get_partition(partitioned_hg, partition.get());
// Extract Block Weights
std::unique_ptr<mt_kahypar_hypernode_weight_t[]> block_weights =
std::make_unique<mt_kahypar_hypernode_weight_t[]>(2);
mt_kahypar_get_block_weights(partitioned_hg, block_weights.get());
// Compute Metrics
const double imbalance = mt_kahypar_imbalance(partitioned_hg, context);
const double km1 = mt_kahypar_km1(partitioned_hg);
// Output Results
std::cout << "Partitioning Results:" << std::endl;
std::cout << "Imbalance = " << imbalance << std::endl;
std::cout << "Km1 = " << km1 << std::endl;
std::cout << "Weight of Block 0 = " << block_weights[0] << std::endl;
std::cout << "Weight of Block 1 = " << block_weights[1] << std::endl;
mt_kahypar_free_context(context);
mt_kahypar_free_hypergraph(hypergraph);
mt_kahypar_free_partitioned_hypergraph(partitioned_hg);
}We recommend integrating the library via cmake into your project, to manage compiling and linking automatically.
However, it is also possible to directly compile the program using g++:
g++ -std=c++17 -DNDEBUG -O3 your_program.cc -o your_program -lmtkahyparTo execute the produced binary, you need to ensure that the installation directory
(probably /usr/local/lib on Linux and C:\Program Files (x86)\MtKaHyPar\bin on Windows)
is included in the dynamic library path (LD_LIBRARY_PATH on Linux, PATH on Windows).
Note that we internally use different data structures to represent a (hyper)graph based on the corresponding configuration (mt_kahypar_preset_type_t).
The mt_kahypar_hypergraph_t structure stores a pointer to this data structure and also a type description.
Therefore, you can not partition a (hyper)graph with all available configurations once it is loaded or constructed. However, you can check the compatibility of a hypergraph with a configuration with the following code:
mt_kahypar_context_t context = mt_kahypar_context_new();
mt_kahypar_load_preset(context, QUALITY);
// Check if the hypergraph is compatible with the QUALITY preset
if ( mt_kahypar_check_compatibility(hypergraph, QUALITY) ) {
mt_kahypar_partitioned_hypergraph_t partitioned_hg =
mt_kahypar_partition(hypergraph, context);
}You can install the Python library interface via
make mtkahypar_pythonThis will create a shared library in the build/python folder (mtkahypar.so on Linux and mtkahypar.pyd on Windows).
Copy the libary to your Python project directory to import Mt-KaHyPar as a Python module.
A documentation of the Python module can be found in python/module.cpp, or by importing the module (import mtkahypar) and calling help(mtkahypar) in Python.
We also provide several examples that show how to use the Python interface in the folder python/examples.
Here is a short example of how you can partition a hypergraph using our Python interface:
import multiprocessing
import mtkahypar
# Initialize thread pool
mtkahypar.initialize(multiprocessing.cpu_count()) # use all available cores
# Setup partitioning context
context = mtkahypar.Context()
context.loadPreset(mtkahypar.PresetType.DEFAULT) # corresponds to Mt-KaHyPar-D
# In the following, we partition a hypergraph into two blocks
# with an allowed imbalance of 3% and optimize the connectivity metric
context.setPartitioningParameters(
2, # number of blocks
0.03, # imbalance parameter
mtkahypar.Objective.KM1) # objective function
mtkahypar.setSeed(42) # seed
context.logging = True # enables partitioning output
# Load hypergraph from file
hypergraph = mtkahypar.Hypergraph(
"path/to/hypergraph/file", # hypergraph file
mtkahypar.FileFormat.HMETIS) # hypergraph is stored in hMetis file format
# Partition hypergraph
partitioned_hg = hypergraph.partition(context)
# Output metrics
print("Partition Stats:")
print("Imbalance = " + str(partitioned_hg.imbalance()))
print("km1 = " + str(partitioned_hg.km1()))
print("Block Weights:")
print("Weight of Block 0 = " + str(partitioned_hg.blockWeight(0)))
print("Weight of Block 1 = " + str(partitioned_hg.blockWeight(1)))We also provide an optimized graph data structure for partitioning plain graphs. The following example loads and partitions a graph:
# Load graph from file
graph = mtkahypar.Graph(
"path/to/graph/file", # graph file
mtkahypar.FileFormat.METIS) # graph is stored in Metis file format
# Partition graph
partitioned_graph = graph.partition(context)Note that for partitioning hypergraphs into a large number of blocks (e.g., k > 1024), we recommend using the LARGE_K configuration and the partitionIntoLargeK(...) function.
Using a different configuration for large k partitioning may cause excessive memory usage and high running times, depending on the size of the hypergraph and the memory capacity of your target machine.
For partitioning plain graphs, you can load the LARGE_K configuration, but you can still use the partition(...) function of the graph object.
Here is an example that partitions a hypergraph into 1024 blocks:
# Setup partitioning context
context = mtkahypar.Context()
context.loadPreset(mtkahypar.PresetType.LARGE_K)
# In the following, we partition a hypergraph into 1024 blocks
# with an allowed imbalance of 3% and optimize the connectivity metric
context.setPartitioningParameters(1024, 0.03, mtkahypar.Objective.KM1, 42)
# Load and partition hypergraph
hypergraph = mtkahypar.Hypergraph("path/to/hypergraph/file", mtkahypar.FileFormat.HMETIS)
partitioned_hg = hypergraph.partitionIntoLargeK(context)Mt-KaHyPar can optimize several objective functions which we explain in the following in more detail.
The cut-net metric is defined as total weight of all nets spanning more than one block of the partition Π (also called cut nets).
The connectivity metric additionally multiplies the weight of each cut net with the number of blocks λ(e) spanned by that net minus one. Thus, the connectivity metric tries to minimize the number of blocks connected by each net.
The sum-of-external-degrees metric is similar to the connectivity metric, but does not subtract one from the number of blocks λ(e) spanned by a net. A peculiarity of this objective function is that removing a net from the cut reduces the metric by 2ω(e), while reducing the connectivity by one reduces the metric only by ω(e). Thus, the objective function prefers removing nets from the cut, while as a secondary criterion, it tries to reduce the connectivity of the nets.
The Steiner tree metric is the most versatile metric that we provide at the moment. A Steiner tree is a tree with minimal weight that connects a subset of the nodes on a graph (a more detailed definition can be found here). For a subset with exactly two nodes, finding a Steiner tree reverts to computing the shortest path between the two nodes. When optimizing the Steiner tree metric, we map the node set of a hypergraph H onto the nodes of a target graph G. The objective is to minimize the total weight of all Steiner trees induced by the nets of H on G. For a net e, dist(Λ(e)) is the weight of the minimal Steiner tree connecting the blocks Λ(e) spanned by net e on G. The Steiner tree metric can be used to accurately model wire-lengths in VLSI design or communication costs in distributed systems when some processors do not communicate with each other directly or with different speeds.
Note that finding a Steiner tree is an NP-hard problem. We therefore enforce a strict upper bound on the number of nodes of the target graph G, which is 64 nodes at the moment. If you want to map a hypergraph onto larger target graphs, you can use recursive partitioning. For example, if you want to map a hypergraph onto a graph with 4096 nodes, you can first partition the hypergraph into 64 blocks, and then map each block of the partition onto a subgraph of the target graph with 64 nodes.
Our implementation uses a common interface for all gain computation techniques that we use in our refinement algorithms. This enables us to extend Mt-KaHyPar with new objective functions without having to modify the internal implementation of the refinement algorithms. A step-by-step guide on how you can implement your own objective function can be found here.
Mt-KaHyPar implements several graph and hypergraph data structures, and supports different objective functions.
In the hot parts of the algorithm, each combination of (hyper)graph data structure and objective function is compiled separately, which notably increases the compile time.
We therefore provide the cmake preset minimal to disable some of the features of Mt-KaHyPar for faster compilation.
With this, only the deterministic, default, and quality configurations are available in combination with the cut-net or connectivity metric.
Using a disabled feature will throw an error. Note that you can only disable the features in our binary, not in the C and Python interface.
For more fine-grained control, you can directly use the corresponding cmake flags:
-DKAHYPAR_ENABLE_GRAPH_PARTITIONING_FEATURES=On/Off # enables/disables graph partitioning features
-DKAHYPAR_ENABLE_HIGHEST_QUALITY_FEATURES=On/Off # enables/disables our highest-quality configuration
-DKAHYPAR_ENABLE_LARGE_K_PARTITIONING_FEATURES=On/Off # enables/distables large k partitioning features
-DKAHYPAR_ENABLE_SOED_METRIC=On/Off # enables/disables sum-of-external-degrees metric
-DKAHYPAR_ENABLE_STEINER_TREE_METRIC=On/Off # enables/disables Steiner tree metricWe encourage you to report any problems with Mt-KaHyPar via the github issue tracking system of the project.
Mt-KaHyPar is a free software provided under the MIT License. For more information see the LICENSE file. We distribute this framework freely to foster the use and development of hypergraph partitioning tools. If you use Mt-KaHyPar in an academic setting please cite the appropriate papers.
// Mt-KaHyPar-D
@inproceedings{MT-KAHYPAR-D,
title = {Scalable Shared-Memory Hypergraph Partitioning},
author = {Gottesbüren, Lars and
Heuer, Tobias and
Sanders, Peter and
Schlag, Sebastian},
booktitle = {23rd Workshop on Algorithm Engineering and Experiments (ALENEX 2021)},
pages = {16--30},
year = {2021},
publisher = {SIAM},
doi = {10.1137/1.9781611976472.2},
}
// Mt-KaHyPar-Q
@inproceedings{MT-KAHYPAR-Q,
title = {Shared-Memory $n$-level Hypergraph Partitioning},
author = {Lars Gottesb{\"{u}}ren and
Tobias Heuer and
Peter Sanders and
Sebastian Schlag},
booktitle = {24th Workshop on Algorithm Engineering and Experiments (ALENEX 2022)},
year = {2022},
publisher = {SIAM},
month = {01},
doi = {10.1137/1.9781611977042.11}
}
// Mt-KaHyPar-Q-F
@inproceedings{MT-KaHyPar-Q-F,
title = {Parallel Flow-Based Hypergraph Partitioning},
author = {Lars Gottesb\"{u}ren and
Tobias Heuer and
Peter Sanders},
booktitle = {20th International Symposium on Experimental Algorithms (SEA 2022)},
pages = {5:1--5:21},
year = {2022},
volume = {233},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
doi = {10.4230/LIPIcs.SEA.2022.5}
}
// Deterministic Partitioning
@inproceedings{MT-KAHYPAR-SDET,
author = {Lars Gottesb{\"{u}}ren and
Michael Hamann},
title = {Deterministic Parallel Hypergraph Partitioning},
booktitle = {European Conference on Parallel Processing (Euro-Par)},
volume = {13440},
pages = {301--316},
publisher = {Springer},
year = {2022},
doi = {10.1007/978-3-031-12597-3\_19},
}
// Unconstrained Refinement
@inproceedings{MT-KAHYPAR-UNCONSTRAINED,
author = {Nikolai Maas and
Lars Gottesb{\"{u}}ren and
Daniel Seemaier},
editor = {Rezaul Chowdhury and
Solon P. Pissis},
title = {Parallel Unconstrained Local Search for Partitioning Irregular Graphs},
booktitle = {Symposium on Algorithm Engineering and Experiments (ALENEX 2024)},
pages = {32--45},
publisher = {{SIAM}},
year = {2024},
doi = {10.1137/1.9781611977929.3},
}
// Steiner Tree Objective
@inproceedings{MT-KAHYPAR-STEINER-TREES,
author = {Tobias Heuer},
editor = {Rezaul Chowdhury and
Solon P. Pissis},
title = {A Direct \emph{k-}Way Hypergraph Partitioning Algorithm for Optimizing
the Steiner Tree Metric},
booktitle = {Symposium on Algorithm Engineering and Experiments (ALENEX 2024)},
pages = {15--31},
publisher = {{SIAM}},
year = {2024},
doi = {10.1137/1.9781611977929.2}
}
// Dissertation of Lars Gottesbüren
@phdthesis{MT-KAHYPAR-DIS-GOTTESBUEREN,
author = {Lars Gottesb\"{u}ren},
year = {2023},
title = {Parallel and Flow-Based High-Quality Hypergraph Partitioning},
doi = {10.5445/IR/1000157894},
pagetotal = {256},
school = {Karlsruhe Institute of Technology}
}
// Dissertation of Tobias Heuer
@phdthesis{MT-KAHYPAR-DIS-HEUER,
author = {Heuer, Tobias},
year = {2022},
title = {Scalable High-Quality Graph and Hypergraph Partitioning},
doi = {10.5445/IR/1000152872},
pagetotal = {242},
school = {Karlsruhe Institute of Technology}
}
// Mt-KaHyPar Journal Paper
@article{MT-KAHYPAR-JOURNAL,
author = {Lars Gottesb{\"{u}}ren and
Tobias Heuer and
Nikolai Maas and
Peter Sanders and
Sebastian Schlag},
title = {Scalable High-Quality Hypergraph Partitioning},
journal = {{ACM} Transactions on Algorithms},
volume = {20},
number = {1},
pages = {9:1--9:54},
year = {2024},
doi = {10.1145/3626527},
}
If you are interested in contributing to the Mt-KaHyPar framework feel free to contact us or create an issue on the issue tracking system.