1.2.2 Bandwidth Reduction

Problem Input | Problem Output


INPUT                    OUTPUT


Input Description: A graph G=(V,E) , representing an n x n matrix M of zero and non-zero elements.

Problem: Which permutation p of the vertices of V minimizes \max_{(i,j) \in E} |p(i) - p(j)| , or equivalently the length of the longest edge when the vertices are ordered on a line.


Implementations

  • Netlib / TOMS -- Collected Algorithms of the ACM (FORTRAN) (rating 9)
  • Stony Brook Project Implementations (C++) (rating 6)

    Related Problems

  • Feedback Edge/Vertex Set
  • Solving Linear Equations
  • Topological Sorting


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    This page last modified on Tue Jun 03, 1997 .