TY - GEN

T1 - Computing longest single-arm-gapped palindromes in a string

AU - Narisada, Shintaro

AU - Diptarama,

AU - Narisawa, Kazuyuki

AU - Inenaga, Shunsuke

AU - Shinohara, Ayumi

N1 - Funding Information:
This work was funded by ImPACT Program of Council for Science, Technology and Innovation (Cabinet Office, Government of Japan), Tohoku University Division for Interdisciplinary Advance Research and Education, and JSPS KAKENHI Grant Numbers JP15H05706, JP24106010, JP26280003

PY - 2017

Y1 - 2017

N2 - We introduce new types of approximate palindromes called single-arm-gapped palindromes (SAGPs). A SAGP contains a gap in either its left or right arm, which is in the form of either wgucuRwR or wucuRgwR, where w and u are non-empty strings, wR and uR are their reversed strings respectively, g is a gap, and c is either a single character or the empty string. We classify SAGPs into two groups: those which have ucuR as a maximal palindrome (type-1), and the others (type-2). We propose several algorithms to compute all type-1 SAGPs with longest arms occurring in a given string using suffix arrays, and them a linear-time algorithm based on suffix trees. We also show how to compute type-2 SAGPs with longest arms in linear time. We perform some preliminary experiments to evaluate practical performances of the proposed methods.

AB - We introduce new types of approximate palindromes called single-arm-gapped palindromes (SAGPs). A SAGP contains a gap in either its left or right arm, which is in the form of either wgucuRwR or wucuRgwR, where w and u are non-empty strings, wR and uR are their reversed strings respectively, g is a gap, and c is either a single character or the empty string. We classify SAGPs into two groups: those which have ucuR as a maximal palindrome (type-1), and the others (type-2). We propose several algorithms to compute all type-1 SAGPs with longest arms occurring in a given string using suffix arrays, and them a linear-time algorithm based on suffix trees. We also show how to compute type-2 SAGPs with longest arms in linear time. We perform some preliminary experiments to evaluate practical performances of the proposed methods.

UR - http://www.scopus.com/inward/record.url?scp=85010704938&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85010704938&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-51963-0_29

DO - 10.1007/978-3-319-51963-0_29

M3 - Conference contribution

AN - SCOPUS:85010704938

SN - 9783319519623

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 375

EP - 386

BT - SOFSEM 2017

A2 - Baier, Christel

A2 - van den Brand, Mark

A2 - Eder, Johann

A2 - Hinchey, Mike

A2 - Margaria, Tiziana

A2 - Steffen, Bernhard

PB - Springer Verlag

T2 - 43rd Conference on Current Trends in Theory and Practice of Computer Science, SOFSEM 2017

Y2 - 16 January 2017 through 20 January 2017

ER -