Efficient algorithms for combinatorial problems on graphs with bounded, decomposability—a survey
BIT - Ellis Horwood series in artificial intelligence
Linear time algorithms for NP-hard problems restricted to partial k-trees
Discrete Applied Mathematics
A dynamic programming approach to the dominating set problem on k trees
SIAM Journal on Algebraic and Discrete Methods
Small-bias probability spaces: efficient constructions and applications
STOC '90 Proceedings of the twenty-second annual ACM symposium on Theory of computing
Triangulating Vertex-Colored Graphs
SIAM Journal on Discrete Mathematics
Regular Article: On the Complexity of DNA Physical Mapping
Advances in Applied Mathematics
Journal of the ACM (JACM)
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Intervalizing k-Colored Graphs
ICALP '95 Proceedings of the 22nd International Colloquium on Automata, Languages and Programming
DNA Physical Mapping: Three Ways Difficult
ESA '93 Proceedings of the First Annual European Symposium on Algorithms
Two Strikes Against Perfect Phylogeny
ICALP '92 Proceedings of the 19th International Colloquium on Automata, Languages and Programming
Motif Search in Graphs: Application to Metabolic Networks
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
Convex recolorings of strings and trees: definitions, hardness results and algorithms
WADS'05 Proceedings of the 9th international conference on Algorithms and Data Structures
Parameterized Complexity
Parameterized Algorithms and Hardness Results for Some Graph Motif Problems
CPM '08 Proceedings of the 19th annual symposium on Combinatorial Pattern Matching
Assessing the exceptionality of coloured motifs in networks
EURASIP Journal on Bioinformatics and Systems Biology - Special issue on network structure and biological function: Reconstruction, modelling, and statistical approaches
Topology-Free Querying of Protein Interaction Networks
RECOMB 2'09 Proceedings of the 13th Annual International Conference on Research in Computational Molecular Biology
Maximum Motif Problem in Vertex-Colored Graphs
CPM '09 Proceedings of the 20th Annual Symposium on Combinatorial Pattern Matching
Annotating fragmentation patterns
WABI'09 Proceedings of the 9th international conference on Algorithms in bioinformatics
Finding and counting vertex-colored subtrees
MFCS'10 Proceedings of the 35th international conference on Mathematical foundations of computer science
Querying Graphs in Protein-Protein Interactions Networks Using Feedback Vertex Set
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
Kernelization hardness of connectivity problems in d-degenerate graphs
WG'10 Proceedings of the 36th international conference on Graph-theoretic concepts in computer science
Complexity issues in vertex-colored graph pattern matching
Journal of Discrete Algorithms
Upper and lower bounds for finding connected motifs in vertex-colored graphs
Journal of Computer and System Sciences
Computing fragmentation trees from metabolite multiple mass spectrometry data
RECOMB'11 Proceedings of the 15th Annual international conference on Research in computational molecular biology
Finding approximate and constrained motifs in graphs
CPM'11 Proceedings of the 22nd annual conference on Combinatorial pattern matching
Kernelization hardness of connectivity problems in d-degenerate graphs
Discrete Applied Mathematics
Parameterized complexity of Min-power multicast problems in wireless ad hoc networks
Theoretical Computer Science
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We study the problem of finding occurrences of motifs in vertex-colored graphs, where a motif is a multiset of colors, and an occurrence of a motif is a subset of connected vertices whose multiset of colors equals the motif. This problem has applications in metabolic network analysis, an important area in bioinformatics. We give two positive results and three negative results that together draw sharp borderlines between tractable and intractable instances of the problem