On two open problems of 2-interval patterns

  • Authors:
  • Shuai Cheng Li;Ming Li

  • Affiliations:
  • David R. Cheriton School of Computer Science, University of Waterloo, Waterloo ON N2L 3G1, Canada;David R. Cheriton School of Computer Science, University of Waterloo, Waterloo ON N2L 3G1, Canada

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2009

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Abstract

The 2-interval pattern problem, introduced in [Stephane Vialette, On the computational complexity of 2-interval pattern matching problems Theoret. Comput. Sci. 312 (2-3) (2004) 223-249], models general problems with biological structures such as protein contact maps and macroscopic describers of secondary structures of ribonucleic acids. Given a set of 2-intervals D and a model R, the problem is to find a maximum cardinality subset D^' of D such that any two 2-intervals in D^' satisfy R, where R is a subset of relations on disjoint 2-intervals: precedence (