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Title: A nearly optimal parallel algorithm for constructing depth first spanning trees in planar graphs

Journal Article · · SIAM J. Comput.; (United States)
DOI:https://doi.org/10.1137/0217028· OSTI ID:6930310

This paper presents a parallel algorithm for constructing depth first spanning trees in planar graphs. The algorithm takes O(log/sup 2/n) time with O(n) processors on a concurrent read concurrent write parallel random access machine (PRAM). The best previously known algorithm for the problem takes O(log/sup 3/n) time with O(n/sup 4/) processors on a PRAM. The authors' algorithm is within an O(log/sup 2/n) factor of optimality.

Research Organization:
Dept. of Computer Science, State Univ. of New York, Buffalo, NY (US)
OSTI ID:
6930310
Journal Information:
SIAM J. Comput.; (United States), Vol. 17:3
Country of Publication:
United States
Language:
English