NDLI: An algorithm for sorting pancake by restricted reversals

Content Provider	Springer Nature Link
Author	Seo, Jung Hyun Kim, Jong Seok Lee, Hyeong Ok
Copyright Year	2015
Abstract	In this paper, we propose an algorithm for sorting n pancakes. The previous studies were focused on finding upper bound or lower bound regarding a limited n-pancake. This study, however, suggests the algorithms for n-pancake with $$n\ge 5$$ . The only constraint is that $$n\ge 5$$ , which eliminates the very strong constraints [ $$n\equiv 0$$ (mod 16), $$n\equiv 0$$ (mod 14), $$n\equiv 3$$ (mod 4), etc.] that were used in previous studies. In addition, the sorting cost of the proposed algorithm is almost a half, from other existing studies, despite the fact that it reduces the degree from $$n-1$$ to $$\frac{n}{2}+1$$ . We define the term ‘restricted reversal’, and based on that terminology, we also propose simple sorting and improved sorting algorithms for the pancake sorting. Further, we examine the worst case time complexity and average time to complete a sort using the suggested algorithms. We also propose sorting costs for the evaluation of similar sorting algorithms such as pancake, burnt pancake, and signed permutation algorithms, and compare the sorting costs and constraints that were found in existing studies. In addition, we propose a burnt pancake sorting algorithm that employs the proposed restricted reversals.
Starting Page	3832
Ending Page	3850
Page Count	19
File Format	PDF
ISSN	09208542
Journal	The Journal of Supercomputing
Volume Number	71
Issue Number	10
e-ISSN	15730484
Language	English
Publisher	Springer US
Publisher Date	2015-07-03
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Pancake Restricted reversal Sorting problem Restricted burnt pancake Restricted pancake Programming Languages, Compilers, Interpreters Processor Architectures Computer Science
Content Type	Text
Resource Type	Article
Subject	Theoretical Computer Science Information Systems Hardware and Architecture Software

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

An Efficient Systolic Algorithm for the Longest Common Subsequence Problem

Parallel Self-Index Integer Sorting

An Efficient General In-Place Parallel Sorting Scheme

New Processor Array Architectures for the Longest Common Subsequence Problem

Coordination Algorithm for Distributed Testing

An Efficient Scheduling Algorithm for Information Delivery on VoD System

Performance assessment of multithreaded quicksort algorithm on simultaneous multithreaded architecture

A Parallel Adaptive Gauss-Jordan Algorithm

Software Architectures and Coordination Models

An algorithm for sorting pancake by restricted reversals

Similar Documents

An Efficient Systolic Algorithm for the Longest Common Subsequence Problem

Parallel Self-Index Integer Sorting

An Efficient General In-Place Parallel Sorting Scheme

New Processor Array Architectures for the Longest Common Subsequence Problem

Coordination Algorithm for Distributed Testing

An Efficient Scheduling Algorithm for Information Delivery on VoD System

Performance assessment of multithreaded quicksort algorithm on simultaneous multithreaded architecture

A Parallel Adaptive Gauss-Jordan Algorithm

Software Architectures and Coordination Models

An algorithm for sorting pancake by restricted reversals