Abstract
AbstractThe problems studied in this paper originate from Graph Motif, a problem introduced in 2006 in the context of biological networks. Informally speaking, it consists in deciding if a multiset of colors occurs in a connected subgraph of a vertex-colored graph. Due to the high rate of noise in the biological data, more flexible definitions of the problem have been outlined. We present in this paper two inapproximability results for two different optimization variants of Graph Motif. We also study another definition of the problem, when the connectivity constraint is replaced by modularity. While the problem stays NP-complete, it allows algorithms in FPT for biologically relevant parameterizations.KeywordsMetabolic NetworkBiological NetworkSubset VersusStrong ModuleSolution VersusThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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