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Kuan-Hao Chao1, Pei-Wei Chen2, Sanjit A Seshia2

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This summary is machine-generated.

Wheelie is a new algorithm that efficiently checks if a graph has Wheeler properties, crucial for pangenome indexing. It enables practical visualization and verification of these complex graph structures.

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Area of Science:

  • Computational biology
  • Graph theory
  • Bioinformatics

Background:

  • Wheeler graphs are foundational for graph-based pangenome indexes, enabling efficient string indexing and querying.
  • Current tools lack practical methods for visualizing or verifying Wheeler properties in graphs.
  • The NP-complete nature of checking Wheeler properties poses a significant computational challenge.

Purpose of the Study:

  • To develop a practical algorithm for checking Wheeler properties in graphs.
  • To provide tools for visualizing and verifying Wheeler graphs.
  • To address the limitations of existing methods for handling graph-shaped pangenomes.

Main Methods:

  • Introduction of Wheelie, an algorithm combining a renaming heuristic with either a permutation solver (Wheelie-PR) or a Satisfiability Modulo Theory (SMT) solver (Wheelie-SMT).
  • Implementation of Wheelie for efficient checking of Wheeler properties, even for large graphs.
  • Development of complementary visualization tools within the Wheeler Graph Toolkit (WGT).

Main Results:

  • Wheelie demonstrates significantly faster performance in checking Wheeler properties compared to previous algorithms.
  • The algorithm can verify graphs with thousands of nodes in mere seconds.
  • The WGT toolkit offers open-source solutions for Wheeler graph analysis and visualization.

Conclusions:

  • Wheelie provides a practical and efficient solution for verifying Wheeler properties in graphs.
  • The WGT toolkit facilitates the analysis and visualization of graph-based pangenomes.
  • This work advances the practical application of Wheeler graphs in bioinformatics and computational biology.