Abstract
We show that all minimal a-b separators (vertex sets) disconnecting a pair of given non-adjacent vertices a and b in an undirected and connected graph with n vertices can be computed in O(n 2 R ab ) time, where R ab is the number of minimal a-b separators. This result matches the known worst-case time complexity of its counterpart problem of computing all a-b cutsets (edge sets) [13] and solves an open problem posed in [11].
Author for correspondence. This work was done when the author was visiting Hong Kong Baptist University in 1998 and was partially supported by the Australia Research Council under its Small Grants Scheme.
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© 1999 Springer-Verlag Berlin Heidelberg
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Shen, H., Li, K., Zheng, SQ. (1999). Separators Are as Simple as Cutsets. In: Thiagarajan, P.S., Yap, R. (eds) Advances in Computing Science — ASIAN’99. ASIAN 1999. Lecture Notes in Computer Science, vol 1742. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46674-6_29
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DOI: https://doi.org/10.1007/3-540-46674-6_29
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