منابع مشابه
Graph Motif Problems Parameterized by Dual
Let G = (V,E) be a vertex-colored graph, where C is the set of colors used to color V . The Graph Motif (or GM) problem takes as input G, a multisetM of colors built from C, and asks whether there is a subset S ⊆ V such that (i) G[S] is connected and (ii) the multiset of colors obtained from S equals M . The Colorful Graph Motif (or CGM) problem is the special case of GM in which M is a set, an...
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We study the NP-complete Graph Motif problem: given a vertex-colored graph G = (V, E) and a multiset M of colors, does there exist an S ⊆ V such that G[S] is connected and carries exactly (also with respect to multiplicity) the colors in M? We present an improved randomized algorithm for Graph Motif with running time O(4.32 · |M | · |E|). We extend our algorithm to list-colored graph vertices a...
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In the framework of parameterized complexity, one of the most commonly used structural parameters is the treewidth of the input graph. The reason for this is that most natural graph problems turn out to be fixed parameter tractable when parameterized by treewidth. However, Graph Layout problems are a notable exception. In particular, no fixed parameter tractable algorithms are known for the Cut...
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We investigate the Induced Subgraph Isomorphism problem with non-standard parametrization, where the parameter is the difference |V (G)| − |V (H)| with H and G being the smaller and the larger input graph, respectively. Intuitively, we can interpret this problem as “cleaning” the graph G, regarded as a pattern containing extra vertices indicating errors, in order to obtain the graph H represent...
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ژورنال
عنوان ژورنال: Journal of Graph Algorithms and Applications
سال: 2020
ISSN: 1526-1719
DOI: 10.7155/jgaa.00538