http://dspace.infodocu.lbd.org.es/xmlui/handle/123456789/905 Fri, 22 May 2026 19:03:52 GMT 2026-05-22T19:03:52Z http://dspace.infodocu.lbd.org.es/xmlui/handle/123456789/1398 Bitvectors with runs and the successor/predecessor problem Gómez-Brandón, Adrián; R. Brisaboa, Nieves The successor and predecessor problem consists of obtaining the closest value in a set of integers, greater/smaller than a given value. This problem has interesting applications, like the intersection of inverted lists. It can be easily modeled by using a bitvector of size n and its operations rank and select. However, there is a practical approach [1], which keeps the best theoretical bounds, and allows to solve successor and predecessor more efficiently. Based on that technique, we designed a novel compact data structure for bitvectors with k runs that achieves access, rank, and successor/predecessor in O(1) time by consuming space O( √ kn) bits. In practice, it obtains a compression ratio of 0.04% − 26.33% when the runs are larger than 100, and becomes the fastest technique, which considers compressibility, in successor/predecessor queries. Besides, we present a recursive variant of our structure, which tends to O(k) bits and takes O(log n k ) time. Wed, 01 Jan 2020 00:00:00 GMT http://dspace.infodocu.lbd.org.es/xmlui/handle/123456789/1398 2020-01-01T00:00:00Z http://dspace.infodocu.lbd.org.es/xmlui/handle/123456789/1306 Proba - Aceptar/Rechazar Gómez-Brandón, Adrián Wed, 01 Jan 2020 00:00:00 GMT http://dspace.infodocu.lbd.org.es/xmlui/handle/123456789/1306 2020-01-01T00:00:00Z http://dspace.infodocu.lbd.org.es/xmlui/handle/123456789/1265 Proba Gómez-Brandón, Adrián Sun, 01 Jan 2012 00:00:00 GMT http://dspace.infodocu.lbd.org.es/xmlui/handle/123456789/1265 2012-01-01T00:00:00Z