منابع مشابه
Minimum feedback vertex sets in circle graphs
We describe a polynomial time algorithm to find a minimum feedback vertex set, or equivalently, a maximum induced forest, in a circle graph. The circle graphs are the overlap graphs of intervals on a line.
متن کاملExact Computation of Minimum Feedback Vertex Sets with Relational Algebra
A feedback vertex set of a graph is a subset of vertices containing at least one vertex from every cycle of the graph. Given a directed graph by its adjacency relation, we develop a relational algorithm for computing a feedback vertex set of minimum size. In combination with a BDD-implementation of relations, it allows to exactly solve this NP-hard problem for medium-sized graphs.
متن کاملMinimum Feedback Vertex Sets in Distance Graphs and Circulant Graphs
For a set D ⊂ Zn, the distance graph Pn(D) has Zn as its vertex set and the edges are between vertices i and j with |i − j| ∈ D. The circulant graph Cn(D) is defined analogously by considering operations modulo n. The minimum feedback vertex set problem consists in finding the smallest number of vertices to be removed in order to cut all cycles in the graph. This paper studies the minimum feedb...
متن کاملMinimum Feedback Vertex Sets in Shuffle-based Interconnection Networks
Given a graph G, the problem is to construct a smallest subset S of vertices whose deletion results in an acyclic subgraph. The set S is called a minimum feedback vertex set for G. Tight upper and lower bounds on the cardinality of minimum feedback vertex sets have been obtained for some hypercube–like networks, such as meshes, tori, butterflies, cube-connected cycles and hypercubes. In this pa...
متن کاملMinimum Weighted Feedback Vertex Set on Diamonds
Given a vertex weighted graph G, a minimum Weighted Feedback Vertex Set (MWFVS) is a subset F ⊆ V of vertices of minimum weight such that each cycle in G contains at least one vertex in F . The MWFVS on general graph is known to be NP-hard. In this paper we introduce a new class of graphs, namely the diamond graphs, and give a linear time algorithm to solve MWFVS on it. We will discuss, moreove...
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ژورنال
عنوان ژورنال: Journal of Computer and System Sciences
سال: 1988
ISSN: 0022-0000
DOI: 10.1016/0022-0000(88)90009-8