Feedback Vertex Set problem

Target entity: Feedback Vertex Set problem
Context triple: [Reducibility Among Combinatorial Problems, establishesNPCompletenessOf, Feedback Vertex Set problem]

• A. Clique problem
  The Clique problem is a classic NP-complete decision problem in graph theory that asks whether a graph contains a fully connected subgraph (clique) of at least a given size.
• B. Steiner tree problem
  The Steiner tree problem is a classic optimization problem in combinatorial mathematics and computer science that seeks the shortest network of line segments connecting a given set of points, potentially adding extra intermediate points to minimize total length.
• C. Papadimitriou–Yannakakis theorem
  The Papadimitriou–Yannakakis theorem is a fundamental result in computational complexity theory that characterizes the complexity of certain optimization and approximation problems, particularly in relation to classes like NP and the theory of approximation algorithms.
• D. Combinatorial Optimization: Algorithms and Complexity
  Combinatorial Optimization: Algorithms and Complexity is a foundational textbook that systematically develops the theory and algorithms of combinatorial optimization, emphasizing computational complexity and algorithmic efficiency.
• E. Boolean satisfiability problem
  The Boolean satisfiability problem (SAT) is the canonical NP-complete decision problem of determining whether there exists an assignment of truth values to variables that makes a given Boolean formula evaluate to true.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Feedback Vertex Set problem
Target entity description: The Feedback Vertex Set problem is a classic NP-complete graph-theoretic decision problem that asks whether a given graph contains a set of vertices whose removal makes it acyclic.

• A. Clique problem
  The Clique problem is a classic NP-complete decision problem in graph theory that asks whether a graph contains a fully connected subgraph (clique) of at least a given size.
• B. Steiner tree problem
  The Steiner tree problem is a classic optimization problem in combinatorial mathematics and computer science that seeks the shortest network of line segments connecting a given set of points, potentially adding extra intermediate points to minimize total length.
• C. Papadimitriou–Yannakakis theorem
  The Papadimitriou–Yannakakis theorem is a fundamental result in computational complexity theory that characterizes the complexity of certain optimization and approximation problems, particularly in relation to classes like NP and the theory of approximation algorithms.
• D. Combinatorial Optimization: Algorithms and Complexity
  Combinatorial Optimization: Algorithms and Complexity is a foundational textbook that systematically develops the theory and algorithms of combinatorial optimization, emphasizing computational complexity and algorithmic efficiency.
• E. Boolean satisfiability problem
  The Boolean satisfiability problem (SAT) is the canonical NP-complete decision problem of determining whether there exists an assignment of truth values to variables that makes a given Boolean formula evaluate to true.
• F. None of above. chosen