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Everything about Vertex enumeration problem

In mathematics, the vertex enumeration problem for a polytope, a polyhedral cell complex, a hyperplane arrangement, or some other object of discrete geometry, is the problem of determination of the object's vertices given some formal representation of the object. A classical example is the problem of enumeration of the vertices of a convex polytope specified by a set of linear inequalities: Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Vertex enumeration problemA 5-minute orientation
  2. Pick up a classic book: Groups, algebras and applicationsThe most-reprinted book on the subject
  3. Read the landmark paper: On the Minimum Feedback Vertex Set Problem: Exact and Enumeration AlgorithmsCited 87 times
  4. Go sideways: Reverse-search algorithmA closely related topic
  5. Go sideways: Convex polytopeA closely related topic

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🗂️ The subject at a glance

  1. Computational complexity

🏆 Landmark papers (most cited)

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