Linear-space data structures for range mode query in arrays

TM Chan, S Durocher, KG Larsen, J Morrison… - Theory of Computing …, 2014 - Springer
A mode of a multiset S is an element a∈ S of maximum multiplicity; that is, a occurs at least
as frequently as any other element in S. Given an array A 1: n of n elements, we consider a …

Succinct and implicit data structures for computational geometry

M He - Space-Efficient Data Structures, Streams, and …, 2013 - Springer
Many classic data structures have been proposed to support geometric queries, such as
range search, point location and nearest neighbor search. For a two-dimensional geometric …

Computational geometry: Generalized (or colored) intersection searching

P Gupta, R Janardan, S Rahul… - Handbook of Data …, 2018 - taylorfrancis.com
Problems arising in diverse areas, such as VLSI layout design, database query-retrieval,
robotics, and computer graphics can often be formulated as geometric intersection …

Linear-space data structures for range minority query in arrays

TM Chan, S Durocher, M Skala… - Scandinavian Workshop on …, 2012 - Springer
We consider range queries in arrays that search for low-frequency elements: least frequent
elements and α-minorities. An α-minority of a query range has multiplicity no greater than an …

Improved time and space bounds for dynamic range mode

H El-Zein, M He, JI Munro, B Sandlund - arXiv preprint arXiv:1807.03827, 2018 - arxiv.org
Given an array A of $ n $ elements, we wish to support queries for the most frequent and
least frequent element in a subrange $[l, r] $ of $ A $. We also wish to support updates that …

Faster dynamic range mode

B Sandlund, Y Xu - arXiv preprint arXiv:2004.08777, 2020 - arxiv.org
In the dynamic range mode problem, we are given a sequence $ a $ of length bounded by $
N $ and asked to support element insertion, deletion, and queries for the most frequent …

Priority queues and sorting for read-only data

T Asano, A Elmasry, J Katajainen - … on Theory and Applications of Models …, 2013 - Springer
We revisit the random-access-machine model in which the input is given on a read-only
random-access media, the output is to be produced to a write-only sequential-access media …

Linear-space data structures for range mode query in arrays

TM Chan, S Durocher, KG Larsen, J Morrison… - STACS'12 (29th …, 2012 - hal.science
A mode of a multiset S is an element a in S of maximum multiplicity; that is, a occurs at least
as frequently as any other element in S. Given an array A [1: n] of n elements, we consider a …

Better space bounds for parameterized range majority and minority

D Belazzougui, T Gagie, G Navarro - Workshop on Algorithms and Data …, 2013 - Springer
Karpinski and Nekrich (2008) introduced the problem of parameterized range majority,
which asks to preprocess a string of length n such that, given the endpoints of a range, one …

Range majorities and minorities in arrays

D Belazzougui, T Gagie, JI Munro, G Navarro… - Algorithmica, 2021 - Springer
The problem of parameterized range majority asks us to preprocess a string of length n such
that, given the endpoints of a range, one can quickly find all the distinct elements whose …