Quiz 2: State Space Graph

  • Due Mar 19 at 11:59pm
  • Points 54
  • Questions 16
  • Available after Mar 5 at 9am
  • Time Limit None
  • Allowed Attempts 2

Instructions

State-Space Graph

  • Many problems can be solved by a reduction to one of the standard graph problems.
    • This is true, in particular, for a variety of puzzles and games.
  • In these applications, vertices of a graph typically represent possible states of the problem in question, and edges indicate permitted transitions among such states.
  • One of the graph’s vertices represents an initial state and another represents a goal state of the problem.
    • (There might be several vertices of the latter kind.)
  • Such a graph is called a state-space graph.
  • Thus, the transformation just described reduces the problem to the question about a path from the initial-state vertex to a goal-state vertex.

 

Our success in solving this simple puzzle should not lead you to believe that generating and investigating state-space graphs is always a straightforward task. To get a better appreciation of them, consult books on artificial intelligence (AI), the branch of computer science in which state-space graphs are a principal subject.

 

00.combinatorial.problem.pptx

 

 

 

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