Title
Efficient Parallel Algorithms for some Tree Layout Problems
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.
Year
Venue
Keywords
1995
COCOON '95 Proceedings of the First Annual International Conference on Computing and Combinatorics
unrooted tree,general graph,maximum degree,efficient parallel algorithms,crew pram processor,minimum cut arrangement,minimum cut,linear arrangement problem,minimum length,wiring problem,tree layout problems,log n,parallel algorithm
Field
DocType
Volume
Discrete mathematics,Combinatorics,Parallel algorithm,Computer science,Tree decomposition,Minimum cut,Gomory–Hu tree,Minimum k-cut,Minimum spanning tree,Cost efficiency,Bounded function
Conference
959
ISSN
ISBN
Citations 
0302-9743
3-540-60216-X
1
PageRank 
References 
Authors
0.63
5
6
Name
Order
Citations
PageRank
J. Diaz110.63
A. Gibbons2112.77
Grammati E. Pantziou336642.33
M. Serna4314.28
Paul G. Spirakis52222299.05
Jacobo Torán6265.68