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Improved algorithms for enumerating tree-like chemical graphs with given path frequency.

Yusuke Ishida1, Liang Zhao, Hiroshi Nagamochi

  • 1Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University, Yoshida, Kyoto, Japan. yusukei@amp.i.kyoto-u.ac.jp

Genome Informatics. International Conference on Genome Informatics
|May 9, 2009
PubMed
Summary
This summary is machine-generated.

This study enhances chemical graph enumeration by introducing new bounding operations, significantly speeding up the identification of non-isomorphic tree-like chemical structures with specific path frequencies.

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Area of Science:

  • Computational chemistry
  • Graph theory
  • Cheminformatics

Background:

  • Enumerating non-isomorphic chemical graphs is crucial for compound classification and design.
  • Existing methods use branch-and-bound algorithms with path frequency constraints.
  • Previous algorithms efficiently enumerate trees but can be improved.

Purpose of the Study:

  • To develop more efficient algorithms for enumerating tree-like chemical graphs.
  • To introduce novel bounding operations to reduce search space.
  • To improve upon existing methods for chemical structure identification.

Main Methods:

  • Introduced two new bounding operations: detachment-cut and H-cut.
  • Built upon existing branch-and-bound algorithms and graph theory results.
  • Implemented and compared algorithms using chemical compound data from KEGG LIGAND.

Main Results:

  • The new algorithms significantly reduce the search space compared to previous methods.
  • Computational experiments demonstrate a substantial speed improvement.
  • The proposed methods are much faster than Fujiwara et al.'s algorithms.

Conclusions:

  • The novel bounding operations effectively enhance the efficiency of chemical graph enumeration.
  • This work provides a faster approach for identifying chemical structures with specific properties.
  • The improved algorithms have potential applications in chemical compound design and analysis.