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    The Topology ToolKit (TTK) now supports distributed-memory parallelism using Message Passing Interface (MPI), enabling versatile topological analysis pipelines on large datasets. This extension offers efficient parallelization for complex scientific workflows.

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    Area of Science:

    • Scientific Visualization
    • Computational Topology
    • High-Performance Computing

    Background:

    • Existing topology-based approaches for distributed-memory environments often use tailored, single-algorithm implementations.
    • There is a need for versatile frameworks supporting complex topological analysis pipelines in parallel.

    Purpose of the Study:

    • To document the technical foundations for extending the Topology ToolKit (TTK) to distributed-memory parallelism using Message Passing Interface (MPI).
    • To introduce a versatile approach for topological analysis pipelines supporting triangulated domains and regular grids.

    Main Methods:

    • Extension of TTK's data structures for triangulation representation and traversal to support MPI.
    • Development of an intermediate interface between TTK and MPI at both global pipeline and fine-grain algorithmic levels.
    • Classification of distributed-memory topological algorithms based on communication needs and examples of hybrid MPI+thread parallelization.

    Main Results:

    • Demonstration of a versatile approach for distributed-memory topological analysis pipelines.
    • Performance analyses showing parallel efficiencies from 20% to 80% with negligible overhead from MPI-specific preconditioning.
    • Successful application of the extended TTK to a 120-billion-vertex dataset on a 1536-core cluster.

    Conclusions:

    • The TTK extension provides a robust and versatile framework for large-scale topological analysis in distributed-memory environments.
    • The developed methods address algorithmic and software engineering challenges in parallel topological computing.
    • A roadmap and recommendations are provided for future development of TTK's MPI extension.