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Computing Bond Types in Molecule Graphs

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5609))

Abstract

In this paper, we deal with restoring missing information in molecule databases: Some data formats only store the atoms’ configuration but omit bond multiplicities. As this information is essential for various applications in chemistry, we consider the problem of recovering bond type information using a scoring function for the possible valences of each atom—the Bond Type Assignment problem. We prove the NP-hardness of Bond Type Assignment and give an exact fixed-parameter algorithm for the problem where bond types are computed via dynamic programming on a tree decomposition of the molecule graph. We evaluate our algorithm on a set of real molecule graphs and find that it works fast and accurately.

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References

  1. Alber, J., Dorn, F., Niedermeier, R.: Experimental evaluation of a tree decomposition based algorithm for Vertex Cover on planar graphs. Discrete Appl. Math. 145(2), 219–231 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  2. Arnborg, S., Corneil, D.G., Proskurowski, A.: Complexity of finding embedding in a k-tree. SIAM J. Algebra. Discr. 8, 277–284 (1987)

    Article  MathSciNet  MATH  Google Scholar 

  3. Baber, J.C., Hodgkin, E.E.: Automatic assignment of chemical connectivity to organic molecules in the cambridge structural database. J. Chem. Inf. Model. 32, 401–406 (1992)

    Article  Google Scholar 

  4. Bodlaender, H.L.: A partial k-arboretum of graphs with bounded treewidth. Theor. Comput. Sci. 209, 1–45 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  5. Downey, R.G., Fellows, M.R.: Parameterized Complexity. Springer, Heidelberg (1999)

    Google Scholar 

  6. Froeyen, M., Herdewijn, P.: Correct bond order assignment in a molecular framework using integer linear programming with application to molecules where only non-hydrogen atom coordinates are available. J. Chem. Inf. Model. 5, 1267–1274 (2005)

    Article  Google Scholar 

  7. Garey, M.R., Johnson, D.S.: Computers and Intractability (A Guide to Theory of NP-Completeness). Freeman, New York (1979)

    Google Scholar 

  8. Hendlich, M., Rippmann, F., Barnickel, G.: BALI: automatic assignment of bond and atom types for protein ligands in the brookhaven protein databank. J. Chem. Inf. Model. 37, 774–778 (1997)

    Google Scholar 

  9. Kloks, T.: Treewidth, Computation and Approximation. Springer, Heidelberg (1994)

    Google Scholar 

  10. Niedermeier, R.: Invitation to Fixed-Parameter Algorithms. Oxford University Press, Oxford (2006)

    Google Scholar 

  11. Robertson, N., Seymour, P.: Graph minors: algorithmic aspects of tree-width. J. Algorithms 7, 309–322 (1986)

    Article  MathSciNet  MATH  Google Scholar 

  12. Wang, J., Wang, W., Kollmann, P.A., Case, D.A.: Automatic atom type and bond type perception in molecular mechanical calculations. J. Mol. Graph. Model. 25, 247–260 (2006)

    Article  Google Scholar 

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© 2009 Springer-Verlag Berlin Heidelberg

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Böcker, S., Bui, Q.B.A., Seeber, P., Truss, A. (2009). Computing Bond Types in Molecule Graphs. In: Ngo, H.Q. (eds) Computing and Combinatorics. COCOON 2009. Lecture Notes in Computer Science, vol 5609. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02882-3_30

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  • DOI: https://doi.org/10.1007/978-3-642-02882-3_30

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02881-6

  • Online ISBN: 978-3-642-02882-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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