Parallel ear decomposition search (EDS) and st-numbering in graphs
Proc. of the Aegean workshop on computing on VLSI algorithms and architectures
A new graphy triconnectivity algorithm and its parallelization
STOC '87 Proceedings of the nineteenth annual ACM symposium on Theory of computing
Graph Algorithms
Computing ears and branchings in parallel
SFCS '85 Proceedings of the 26th Annual Symposium on Foundations of Computer Science
A physical interpretation of graph connectivity, and its algorithmic applications
SFCS '86 Proceedings of the 27th Annual Symposium on Foundations of Computer Science
SFCS '86 Proceedings of the 27th Annual Symposium on Foundations of Computer Science
Proceedings of the 2011 ACM Symposium on Applied Computing
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We present a new algorithm based on ear decomposition for testing vertex four-connectivity and for finding all separating triplets in a triconnected graph. The sequential implementation of our algorithm runs in O(n2) time and the parallel implementation runs in O(logn) time using O(n2) processors on a CRCW PRAM, where n is the number of vertices in the graph. This improves previous bounds for the problem for both the sequential and parallel cases. The sequential algorithm is optimal if the input is specified in adjacency matrix form, or if the input graph is dense.