A PTAS for the Weighted 2-Interval Pattern Problem over the Preceding-and-Crossing Model
نویسنده
چکیده
A macroscopic approximation of RNA secondary structure (Vialette, CPM 2002): • a subsequence of consecutive bases → an interval • a stacked pairing of two disjoint subsequences → a 2interval Three Binary Relations For two 2-intervals D1 = (I1, J1) and D2 = (I2, J2), D1 and D2 are disjoint if the four intervals I1, J1, I2, and J2 are pairwise disjoint. Preceding: D1 < D2 ⇐⇒ I1 < J1 < I2 < J2. Nesting: D1 ⊏ D2 ⇐⇒ I2 < I1 < J1 < J2. Crossing: D1 ≬ D2 ⇐⇒ I1 < I2 < J1 < J2. D1 and D2 are R-comparable for some R ∈ {<,⊏, ≬} if either (D1, D2) ∈ R or (D2, D1) ∈ R.
منابع مشابه
Two-Level Boolean Minimization
mation and Management (AAIM), Portland, OR, USA, Lecture Notes in Computer Science, vol. 4508, pp. 399–410. Springer (2007) 12. Jiang, M.: A PTAS for the weighted 2-interval pattern problem over the preceding-and-crossing model. In: Y.X. A.W.M. Dress, B. Zhu (eds.) Proc. 1st Annual International Conference on Combinatorial Optimization and Applications (COCOA), Xi’an, China, Lecture Notes in Co...
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