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Finding approximate and constrained motifs in graphs.
- Source :
-
Theoretical Computer Science . Apr2013, Vol. 483, p10-21. 12p. - Publication Year :
- 2013
-
Abstract
- Abstract: One of the most relevant topics in the analysis of biological networks is the identification of functional motifs inside a network. A recent approach introduced in literature, called Graph Motif, represents the network as a vertex-colored graph, and the motif as a multiset of colors. An occurrence of a motif in a vertex-colored graph is a connected induced subgraph of whose vertex set is colored exactly as . In this paper we investigate three different variants of the Graph Motif problem. The first two variants, Minimum Adding Motif (Min-Add Graph Motif) and Minimum Substitution Motif (Min-Sub Graph Motif), deal with approximate occurrences of a motif in the graph, while the third variant, Constrained Graph Motif (CGM), constrains the motif to contain a given set of vertices. We investigate the computational and parameterized complexity of the three problems. We show that Min-Add Graph Motifand Min-Sub Graph Motifare both NP-hard, even when is a set, and the graph is a tree with maximum degree in which each color appears at most twice. Then, we show that Min-Sub Graph Motifis fixed-parameter tractable when parameterized by the size of . Finally, we consider the parameterized complexity of the CGMproblem; we give a fixed-parameter algorithm for graphs of bounded treewidth, and show that the problem is W[2]-hard when parameterized by , even if the input graph has diameter . [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 03043975
- Volume :
- 483
- Database :
- Academic Search Index
- Journal :
- Theoretical Computer Science
- Publication Type :
- Academic Journal
- Accession number :
- 89193813
- Full Text :
- https://doi.org/10.1016/j.tcs.2012.08.023