A Generic Approach for Solving Sparse Path Problems

  title={A Generic Approach for Solving Sparse Path Problems},
  author={Marc Pouly},
This paper shows how sparse path problems can be solved by tree-decomposition techniques. We analyse the properties of closure matrices and prove that they satisfy the axioms of a valuation algebra, which is known to be sufficient for the application of generic tree-decomposition methods. Given a sparse path problem where only a subset of queries are required, we continually compute path weights of smaller graph regions and deduce the total paths from these results. The decisive complexity… CONTINUE READING

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