Publication: Graph coloring in the estimation of sparse derivative matrices: Instances and applications
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Graph coloring in the estimation of sparse derivative matrices: Instances and applications

- Article in a journal -
 

Author(s)
Shahadat Hossain , Trond Steihaug

Published in
Discrete Appl. Math.

Year
2008

Publisher
Elsevier Science Publishers B. V.

Abstract
We describe a graph coloring problem associated with the determination of mathematical derivatives. The coloring instances are obtained as intersection graphs of row partitioned sparse derivative matrices. The size of the graph is dependent on the partition and can be varied between the number of columns and the number of nonzero entries. If solved exactly our proposal will yield a significant reduction in computational cost of the derivative matrices. The effectiveness of our approach is demonstrated via a practical problem from computational molecular biology. We also remark on the hardness of the generated coloring instances.

AD Theory and Techniques
graph coloring, Sparsity

BibTeX
@ARTICLE{
         Hossain2008Gci,
       abstract = "We describe a graph coloring problem associated with the determination of
         mathematical derivatives. The coloring instances are obtained as intersection graphs of row
         partitioned sparse derivative matrices. The size of the graph is dependent on the partition and can
         be varied between the number of columns and the number of nonzero entries. If solved exactly our
         proposal will yield a significant reduction in computational cost of the derivative matrices. The
         effectiveness of our approach is demonstrated via a practical problem from computational molecular
         biology. We also remark on the hardness of the generated coloring instances.",
       author = "Hossain, Shahadat and Steihaug, Trond",
       title = "Graph coloring in the estimation of sparse derivative matrices: Instances and
         applications",
       journal = "Discrete Appl. Math.",
       volume = "156",
       number = "2",
       year = "2008",
       issn = "0166-218X",
       pages = "280--288",
       doi = "http://dx.doi.org/10.1016/j.dam.2006.07.018",
       publisher = "Elsevier Science Publishers B. V.",
       address = "Amsterdam, The Netherlands, The Netherlands",
       ad_theotech = "graph coloring, Sparsity"
}


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