Scientific Reports:

J. Träff:
"A Note on (Parallel) Depth- and Breadth-First Search by Arc Elimination";
Report for CoRR - Computing Research Repository; Report No. arXiv:1305.1222, 2013; 7 pages.

English abstract:
This note recapitulates an algorithmic observation for ordered Depth-First Search (DFS) in directed graphs that immediately leads to a parallel algorithm with linear speed-up for a range of processors for non-sparse graphs. The note extends the approach to ordered Breadth-First Search (BFS). With p processors, both DFS and BFS algorithms run in O(m/p+n) time steps on a shared-memory parallel machine allowing concurrent reading of locations, e.g., a CREW PRAM, and have linear speed-up for p≤m/n. Both algorithms need n synchronization steps.

Created from the Publication Database of the Vienna University of Technology.