18.04.2013 Views

The.Algorithm.Design.Manual.Springer-Verlag.1998

The.Algorithm.Design.Manual.Springer-Verlag.1998

The.Algorithm.Design.Manual.Springer-Verlag.1998

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

1.2.2 Bandwidth Reduction<br />

1.2.2 Bandwidth Reduction<br />

INPUT OUTPUT<br />

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

Problem: Which permutation p of the vertices of V minimizes \max_{(i,j) \in E} |p(i) - p(j)| , or<br />

equivalently the length of the longest edge when the vertices are ordered on a line.<br />

Implementations<br />

● Netlib / TOMS -- Collected <strong>Algorithm</strong>s of the ACM (FORTRAN) (rating 9)<br />

● Stony Brook Project Implementations (C++) (rating 6)<br />

Related Problems<br />

● Feedback Edge/Vertex Set<br />

● Solving Linear Equations<br />

file:///E|/WEBSITE/FILES/BANDIDTH.HTM (1 of 2) [19/1/2003 1:37:15]

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!