Parameterized algorithmics for finding connected motifs in biological networks. / Betzler, Nadja; Van Bevern, René; Fellows, Michael R. et al.
In: IEEE/ACM Transactions on Computational Biology and Bioinformatics, Vol. 8, No. 5, 5708132, 03.08.2011, p. 1296-1308.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Parameterized algorithmics for finding connected motifs in biological networks
AU - Betzler, Nadja
AU - Van Bevern, René
AU - Fellows, Michael R.
AU - Komusiewicz, Christian
AU - Niedermeier, Rolf
PY - 2011/8/3
Y1 - 2011/8/3
N2 - We study the NP-hard List-Colored Graph Motif problem which, given an undirected list-colored graph G=(V,E) and a multiset M of colors, asks for maximum-cardinality sets S ⊆ V and M′ ⊆ M such that G[S] is connected and contains exactly (with respect to multiplicity) the colors in M′. List-Colored Graph Motif has applications in the analysis of biological networks. We study List-Colored Graph Motif with respect to three different parameterizations. For the parameters motif size |M| and solution size |S|, we present fixed-parameter algorithms, whereas for the parameter |V|-|M|, we show W[1]-hardness for general instances and achieve fixed-parameter tractability for a special case of List-Colored Graph Motif. We implemented the fixed-parameter algorithms for parameters |M|and |S|, developed further speed-up heuristics for these algorithms, and applied them in the context of querying protein-interaction networks, demonstrating their usefulness for realistic instances. Furthermore, we show that extending the request for motif connectedness to stronger demands, such as biconnectedness or bridge-connectedness leads to W[1]-hard problems when the parameter is the motif size |M|.
AB - We study the NP-hard List-Colored Graph Motif problem which, given an undirected list-colored graph G=(V,E) and a multiset M of colors, asks for maximum-cardinality sets S ⊆ V and M′ ⊆ M such that G[S] is connected and contains exactly (with respect to multiplicity) the colors in M′. List-Colored Graph Motif has applications in the analysis of biological networks. We study List-Colored Graph Motif with respect to three different parameterizations. For the parameters motif size |M| and solution size |S|, we present fixed-parameter algorithms, whereas for the parameter |V|-|M|, we show W[1]-hardness for general instances and achieve fixed-parameter tractability for a special case of List-Colored Graph Motif. We implemented the fixed-parameter algorithms for parameters |M|and |S|, developed further speed-up heuristics for these algorithms, and applied them in the context of querying protein-interaction networks, demonstrating their usefulness for realistic instances. Furthermore, we show that extending the request for motif connectedness to stronger demands, such as biconnectedness or bridge-connectedness leads to W[1]-hard problems when the parameter is the motif size |M|.
KW - color-coding
KW - list-colored graphs
KW - Parameterized complexity
KW - pattern matching in graphs
KW - protein-interaction networks
UR - http://www.scopus.com/inward/record.url?scp=79960896907&partnerID=8YFLogxK
U2 - 10.1109/TCBB.2011.19
DO - 10.1109/TCBB.2011.19
M3 - Article
C2 - 21282862
AN - SCOPUS:79960896907
VL - 8
SP - 1296
EP - 1308
JO - IEEE/ACM Transactions on Computational Biology and Bioinformatics
JF - IEEE/ACM Transactions on Computational Biology and Bioinformatics
SN - 1545-5963
IS - 5
M1 - 5708132
ER -
ID: 22342126