@TechReport{Dartmouth:TR93-189, author = {J. Diaz and A. Gibbons and Grammati E. Pantziou and M. Serna and Paul G. Spirakis and J. Toran}, title = {{Efficient Parallel Algorithms for some Tree Layout Problems}}, institution = {Dartmouth College, Computer Science}, address = {Hanover, NH}, number = {PCS-TR93-189}, year = {1993}, URL = {http://www.cs.dartmouth.edu/reports/TR93-189.pdf}, abstract = { The minimum cut and minimum length linear arrangement problems usually occur in solving wiring problems and have a lot in common with job sequencing questions. Both problems are NP-complete for general graphs and in P for trees. We present here two algorithms in NC. The first solves the minimum length linear arrangement problem for unrooted trees in $O(\log^2 n)$ time and $O(n^2 3^{\log n})$ CREW PRAM processors. The second algorithm solves the minimum cut arrangement for unrooted trees of maximum degree $d$ in $O(d \log^2 n)$ time and $O(n^2 /\log n)$ CREW PRAM processors. } }