Increasing and other subsequence problems for random interval sequences

Date

2026-05-01

Author

Arslan, İlker
Işlak, Ümit

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Various relations for comparison of intervals of real numbers are introduced, and the expected length of the corresponding longest increasing subsequence is analyzed. When intervals are randomly generated by taking the minimum and maximum of two independent uniform random variables, we prove that the expected length of the longest increasing subsequence grows on the order of n3. We also investigate the asymptotic behavior of the expected length under alternative comparison relations and random interval models. Discussions on other subsequence problems for interval sequences are included.

Subject Keywords

Increasing subsequences, Random intervals, Relations, Subsequence problems, Time series

URI

https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=105027083967&origin=inward
https://hdl.handle.net/11511/118675

Collections

Graduate School of Applied Mathematics, Article