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The Cartographer
Quasi-Linear-Time Algorithm for Longest Common Circular Factor
January 31, 2019 Β· Declared Dead Β· π Annual Symposium on Combinatorial Pattern Matching
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Authors
Mai Alzamel, Maxime Crochemore, Costas S. Iliopoulos, Tomasz Kociumaka, Jakub Radoszewski, Wojciech Rytter, Juliusz StraszyΕski, Tomasz WaleΕ, Wiktor Zuba
arXiv ID
1901.11305
Category
cs.DS: Data Structures & Algorithms
Citations
8
Venue
Annual Symposium on Combinatorial Pattern Matching
Last Checked
4 months ago
Abstract
We introduce the Longest Common Circular Factor (LCCF) problem in which, given strings $S$ and $T$ of length $n$, we are to compute the longest factor of $S$ whose cyclic shift occurs as a factor of $T$. It is a new similarity measure, an extension of the classic Longest Common Factor. We show how to solve the LCCF problem in $O(n \log^5 n)$ time.
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