In the mathematical discipline of graph theory, a feedback vertex set (FVS) of a graph is a set of vertices whose removal leaves a graph without cycles ("removal" means deleting the vertex and all edges adjacent to it). Equivalently, each FVS contains at least one vertex of any cycle in the graph. The feedback vertex set number of a graph is the size of a smallest feedback vertex set. The minimum feedback vertex set problem is an NP-complete problem; it was among the first problems shown to be NP-complete. It has wide applications in operating systems, database systems, and VLSI chip design.
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theory, a feedbackvertexset (FVS) of a graph is a set of vertices whose removal leaves a graph without cycles ("removal" means deleting the vertex and all...
polynomial time. A closely related problem, the feedbackvertexset, is a set of vertices containing at least one vertex from every cycle in a directed or undirected...
{\text{coNP}}\subseteq {\text{NP/poly}}} . Feedbackvertexset parametrized by the size of the feedbackvertexset: The feedbackvertexset problem has kernels with 4...
removing a feedbackvertexset or a feedback arc set, a set of vertices or edges (respectively) that touches all cycles. However, the smallest such set is NP-hard...
a set of vertices containing at least one vertex from each directed cycle is called a feedbackvertexset. A directed cycle graph has uniform in-degree 1...
Razgon, Igor (2008), "A fixed-parameter algorithm for the directed feedbackvertexset problem", Journal of the ACM, 55 (5): 1, doi:10.1145/1411509.1411511...
perfect matching; Feedbackvertexset number - the minimum number of vertices to delete in order to make the graph acyclic; Feedback arc set - the minimum...
bidimensionality, it was shown that feedbackvertexset, vertex cover, connected vertex cover, cycle packing, diamond hitting set, maximum induced forest, maximum...
into two disjoint and independent sets U {\displaystyle U} and V {\displaystyle V} , that is, every edge connects a vertex in U {\displaystyle U} to one in...
ordering of its vertices such that for every directed edge (u,v) from vertex u to vertex v, u comes before v in the ordering. For instance, the vertices of...
rotated 3D model, such as zbrush or mudbox, also sometimes able to modify vertex attributes. 3D scene A collection of 3D models and lightsources in world...
Every vertex in G either belongs to D or is adjacent to a vertex in D. That is, D is a dominating set of G. A minimum connected dominating set of a graph...
graph. An assignment to a label cover instance gives to each vertex of G a value in the set [k] = {1, 2, ... k}, often called “colours.” An instance of...
graph is a mapping from the vertexset to the natural numbers, a coloring of a signed graph is a mapping from the vertexset to the integers. The constraints...
the square's vertices, together with a line segment connecting the fourth vertex to the center. Ross Honsberger credits its discovery to Maurice Poirier...
latest technology available on 3D graphics cards. Direct3D offers full vertex software emulation but no pixel software emulation for features not available...
graph theory, the dual graph of a planar graph G is a graph that has a vertex for each face of G. The dual graph has an edge for each pair of faces in...
rendering functions were changed in favor of vertex arrays, and fixed-point data types were introduced for vertex coordinates. Attributes were also added to...
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