On the Minimum Size of Systems of Building Blocks Expressing all Intervals , and Range-Restricted Queries

@inproceedings{Ahn2012OnTM,
  title={On the Minimum Size of Systems of Building Blocks Expressing all Intervals , and Range-Restricted Queries},
  author={Hee-Kap Ahn and Peter Bra\ss and Hyeon-Suk Na and Chan-Su Shin},
  year={2012}
}
In this paper we show that the minimum total size of a system of intervals in {1, . . . , n} that allows to express any interval as a disjoint union of at most k intervals of the system is Θ(n1+ 2 k ) for any fixed k. We also prove that the minimum number of intervals k = k(n, c), for which there exists a system of intervals of total size cn with that… CONTINUE READING