@article {IOPORT.05883239, author = {Komusiewicz, Christian and Niedermeier, Rolf and Uhlmann, Johannes}, title = {Deconstructing intractability-A multivariate complexity analysis of interval constrained coloring.}, year = {2011}, journal = {Journal of Discrete Algorithms}, volume = {9}, number = {1}, issn = {1570-8667}, pages = {137-151}, publisher = {Elsevier Science B.V., Amsterdam}, doi = {10.1016/j.jda.2010.07.003}, abstract = {Summary: The NP-hard Interval Constrained Coloring (ICC) problem appears in the interpretation of experimental data in biochemistry dealing with protein fragments. Given a set of $m$ integer intervals in the range 1 to $n$ and a set of $m$ associated multisets of colors (specifying for each interval the colors to be used for its elements), one asks whether there is a ``consistent'' coloring for all integer points from $\{1,\cdots ,n\}$ that complies with the constraints specified by the color multisets. We thoroughly analyze a known NP-hardness proof for ICC. In this way, we identify numerous parameters that naturally occur in ICC and strongly influence its practical solvability. Accordingly, we present several positive (fixed-parameter) tractability results exploiting various parameterizations. We substantiate the usefulness of this ``multivariate algorithmics approach'' by presenting experimental results with real-world data.}, identifier = {05883239}, }