التفاصيل البيبلوغرافية
العنوان: |
ON THE PARAMETERIZED COMPLEXITY OF COUNTING SMALL-SIZED MINIMUM (S, T)-CUTS. |
المؤلفون: |
BERGÉ, PIERRE, BOUAZIZ, WASSIM, RIMMEL, ARPAD, TOMASIK, JOANNA |
المصدر: |
SIAM Journal on Discrete Mathematics; 2023, Vol. 37 Issue 2, p964-996, 33p |
مصطلحات موضوعية: |
COUNTING, UNDIRECTED graphs, ALGORITHMS |
مستخلص: |
The counting of minimum edge (S, T)-cuts in undirected graphs, parameterized by the size p of these cuts, is FPT. The best performance in the literature is O* (2O(p²)). We treat a more general problem of counting minimum (S, T)-cuts composed of vertices instead of edges. We propose an FPT algorithm with running time O* (2O(p log p)). As it may be applied to the edge version as well, we improve the time complexity of the minimum edge (S, T)-cuts counting. [ABSTRACT FROM AUTHOR] |
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قاعدة البيانات: |
Complementary Index |