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Paper Abstract and Keywords
Presentation 2019-03-18 09:30
Range Mode Query and Solution Enumeration
Kentaro Sumigawa, Kunihiko Sadakane (Univ. of Tokyo)
Abstract (in Japanese) (See Japanese page) 
(in English) The range mode query problem is constructing a data structure from the given array of $n$ terms which can efficiently answer the mode of continuous subarrays. Durocher and Morrison proposed a data structure which uses $Or((n^{1-ep} m+n)log n)$ bits and supports query in $Or(n^ep+loglog n)$ time, where $m$ is the frequency of the mode of the whole array.
This paper introduces a $Orleft(4^knmleft(frac{n}{m}right)^{frac{1}{2^{(2^k)}}}right)$-bits data structure which answer a query in $Orleft(loglogfrac{n}{m}+ou right)$ time, where $k$ is a positive parameter.

Moreover, we generalize the range mode query problem and define range mode enumeration query problem, which answers all of the mode of continuous subarrays. We introduce a $Orleft(nmleft(loglogfrac{n}{m}right)^2+nlog nright)$-bits data structure which can answer the query in $Orleft(loglogfrac{n}{m}+ou right)$ time.
Keyword (in Japanese) (See Japanese page) 
(in English) data structure / range mode query / enumeration algorithm / / / / /  
Reference Info. IEICE Tech. Rep., vol. 118, no. 517, COMP2018-43, pp. 1-8, March 2019.
Paper # COMP2018-43 
Date of Issue 2019-03-11 (COMP) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380

Conference Information
Committee COMP  
Conference Date 2019-03-18 - 2019-03-18 
Place (in Japanese) (See Japanese page) 
Place (in English) The University of Tokyo 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To COMP 
Conference Code 2019-03-COMP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Range Mode Query and Solution Enumeration 
Sub Title (in English)  
Keyword(1) data structure  
Keyword(2) range mode query  
Keyword(3) enumeration algorithm  
1st Author's Name Kentaro Sumigawa  
1st Author's Affiliation The University of Tokyo (Univ. of Tokyo)
2nd Author's Name Kunihiko Sadakane  
2nd Author's Affiliation The University of Tokyo (Univ. of Tokyo)
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Date Time 2019-03-18 09:30:00 
Presentation Time 25 
Registration for COMP 
Paper # IEICE-COMP2018-43 
Volume (vol) IEICE-118 
Number (no) no.517 
Page pp.1-8 
#Pages IEICE-8 
Date of Issue IEICE-COMP-2019-03-11 

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