New Classes for Parallel Complexity: A Study of Unification and Other Complete Problems for P
IEEE Transactions on Computers
A parallel algorithm for the maximal path problem
STOC '85 Proceedings of the seventeenth annual ACM symposium on Theory of computing
A random NC algorithm for depth first search
STOC '87 Proceedings of the nineteenth annual ACM symposium on Theory of computing
Hi-index | 0.00 |
A number of greedy algorithms are examined and are shown to be probably inherently sequential. Greedy algorithms are presented for finding a maximal path, for finding a maximal set of disjoint paths in a layered dag, and for finding the largest induced subgraph of a graph that has all vertices of degree at least k. It is shown that for all of these algorithms, the problem of determining if a given node is in the solution set of the algorithm is P-complete. This means that it is unlikely that these sequential algorithms can be sped up significantly using parallelism.