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Enumerating treelike chemical graphs with given path frequency.

Hiroki Fujiwara¹, Jiexun Wang, Liang Zhao

¹Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University, Kyoto 606-8501, Japan.

Journal of Chemical Information and Modeling

|July 1, 2008

Summary

This study introduces efficient algorithms for enumerating treelike chemical graphs based on path frequency. The new methods improve computational efficiency and memory usage for chemical graph enumeration, including alkane isomers.

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Area of Science:

Chemoinformatics
Computational Chemistry
Graph Theory

Background:

Enumerating chemical graphs is crucial in chemoinformatics.
Existing methods face limitations with larger graph sizes and specific constraints.

Purpose of the Study:

To develop exact algorithms for enumerating treelike chemical graphs based on path frequency.
To enhance enumeration efficiency by incorporating multiple bond specifications.
To apply these algorithms to generate alkane isomers.

Main Methods:

Branch-and-bound algorithm for exact enumeration.
A modified enumeration approach incorporating multiple bond constraints.
Experimental validation on chemical graph instances and alkane isomer generation.

Main Results:

Developed efficient algorithms for treelike chemical graph enumeration.
Algorithms successfully handle larger instances than previous methods.
The algorithm for alkane isomers matches state-of-the-art speed with reduced memory footprint.

Conclusions:

The proposed algorithms offer significant improvements in efficiency and memory for chemical graph enumeration.
These methods provide a powerful tool for chemoinformatics and computational chemistry tasks.
The approach is particularly effective for generating complex chemical structures like alkane isomers.