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A Linear Time Algorithm for Constructing Hierarchical Overlap Graphs
Acte de colloque   Open Access

A Linear Time Algorithm for Constructing Hierarchical Overlap Graphs

Sangsoo Park, Sung Gwan Park, Bastien Cazaux, Kunsoo Park et Eric Rivals
Leibniz International Proceedings in Informatics (LIPIcs), Vol.191, pp.22:1--22:9
Leibniz International Proceedings in Informatics (LIPIcs)
CPM 2021 - 32nd Annual Symposium on Combinatorial Pattern Matching (Wrocław, Poland, 05/07/2021–07/07/2021)
30/06/2021

Résumé

hierarchical overlap graph shortest superstring problem border array overlap graph
The hierarchical overlap graph (HOG) is a graph that encodes overlaps from a given set P of n strings, as the overlap graph does. A best known algorithm constructs HOG in O(||P || log n) time and O(||P ||) space, where ||P || is the sum of lengths of the strings in P. In this paper we present a new algorithm to construct HOG in O(||P ||) time and space. Hence, the construction time and space of HOG are better than those of the overlap graph, which are O(||P || + n 2).

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