Title
Upper and lower bounds for finding connected motifs in vertex-colored graphs
Abstract
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 is a natural graph-theoretic pattern matching variant where we are not interested in the actual structure of the occurrence of the pattern, we only require it to preserve the very basic topological requirement of connectedness. We give two positive results and three negative results that together give an extensive picture of tractable and intractable instances of the problem.
Year
DOI
Venue
2011
10.1016/j.jcss.2010.07.003
J. Comput. Syst. Sci.
Keywords
Field
DocType
treewidth,graph pattern matching,positive result,w hardness,extensive picture,basic topological requirement,lower bound,connected vertex,vertex-colored graph,graph motif,connected motif,intractable instance,parameterized complexity,negative result,actual structure,natural graph-theoretic pattern,pattern matching,upper and lower bounds
Discrete mathematics,Social connectedness,Combinatorics,Parameterized complexity,Vertex (geometry),Multiset,Upper and lower bounds,Motif (music),Treewidth,Pattern matching,Mathematics
Journal
Volume
Issue
ISSN
77
4
Journal of Computer and System Sciences
Citations 
PageRank 
References 
29
1.05
26
Authors
4
Name
Order
Citations
PageRank
Michael R. Fellows14138319.37
Guillaume Fertin256957.84
Danny Hermelin379048.62
Stéphane Vialette464848.10