This paper resolves the parallel complexity of the graph closure problem, an open question posed by S. Khuller. In particular, we prove that the 2N - k-closure problem is in L for k = 5 and it is P-complete for k greater than or equal to 6. Finally, we show that the N + k-closure problem is P-complete for any integer k.

On the computational complexity of graph closures / Monti, Angelo. - In: INFORMATION PROCESSING LETTERS. - ISSN 0020-0190. - STAMPA. - 57:6(1996), pp. 291-295. [10.1016/0020-0190(96)00027-0]

On the computational complexity of graph closures

MONTI, Angelo
1996

Abstract

This paper resolves the parallel complexity of the graph closure problem, an open question posed by S. Khuller. In particular, we prove that the 2N - k-closure problem is in L for k = 5 and it is P-complete for k greater than or equal to 6. Finally, we show that the N + k-closure problem is P-complete for any integer k.
1996
computational complexity; graph closure; p-completeness; parallel complexity
01 Pubblicazione su rivista::01a Articolo in rivista
On the computational complexity of graph closures / Monti, Angelo. - In: INFORMATION PROCESSING LETTERS. - ISSN 0020-0190. - STAMPA. - 57:6(1996), pp. 291-295. [10.1016/0020-0190(96)00027-0]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/47721
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