Improved algorithms for graph four-connectivity

  title={Improved algorithms for graph four-connectivity},
  author={Arkady Kanevsky and Vijaya Ramachandran},
  journal={28th Annual Symposium on Foundations of Computer Science (sfcs 1987)},
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… CONTINUE READING

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