Tight bound for the number of distinct palindromes in a tree

P Gawrychowski, T Kociumaka, W Rytter… - … Symposium on String …, 2015 - Springer
For an undirected tree with n edges labelled by single letters, we consider its substrings,
which are labels of the simple paths between pairs of nodes. We prove that there are O (n …

[PDF][PDF] Computing Maximal Palindromes and Distinct Palindromes in a Trie.

M Funakoshi, Y Nakashima, S Inenaga, H Bannai… - Stringology, 2019 - stringology.org
It is known that all maximal palindromes of a given string T of length n can be computed in O
(n) time by Manacher's algorithm [J. ACM'75]. Also, all distinct palindromes in T can be …

String covers of a tree

J Radoszewski, W Rytter, J Straszyński… - String Processing and …, 2021 - Springer
We consider covering labeled trees by a collection of paths with the same string label, called
a (string) cover of a tree. We show how to compute all covers of a directed (rooted) labeled …

Computing palindromes on a trie in linear time

T Mieno, M Funakoshi, S Inenaga - arXiv preprint arXiv:2211.03995, 2022 - arxiv.org
A trie $\mathcal {T} $ is a rooted tree such that each edge is labeled by a single character
from the alphabet, and the labels of out-going edges from the same node are mutually …

String powers in trees

T Kociumaka, J Radoszewski, W Rytter, T Waleń - Algorithmica, 2017 - Springer
In this paper we consider substrings of an unrooted edge-labeled tree, which are defined as
the composite labels of simple paths. We study how the number of distinct repetitive …

Computing palindromes and suffix trees of dynamic trees

M Funakoshi, T Mieno, Y Nakashima, S Inenaga… - 2024 - researchsquare.com
We consider the problems of computing maximal palindromes and distinct palindromes in
an edge-labeled rooted tree where each edge is labeled by a single character. Such a tree …

Double-Ended Palindromic Trees: A Linear-Time Data Structure and Its Applications

Q Wang, M Yang, X Zhu - arXiv preprint arXiv:2210.02292, 2022 - arxiv.org
The palindromic tree (aka eertree) is a linear-size data structure that provides access to all
palindromic substrings of a string. In this paper, we propose a generalized version of …

String Covers of a Tree Revisited

Ł Kondraciuk - International Symposium on String Processing and …, 2023 - Springer
We consider covering labeled trees with a collection of paths with the same string label,
called a (string) cover of a tree. This problem was originated by Radoszewski et al.(SPIRE …

[PDF][PDF] Regularities and Algorithms on Dynamic Strings

舩越満 - 2022 - catalog.lib.kyushu-u.ac.jp
In recent years, with the spread of the Internet, the development of sensor technology, and
the widespread use of mobile devices, an enormous amount of diverse data has been …

String Covers of a Tree

T Walen, W Zuba - … , SPIRE 2021, Lille, France, October 4–6 …, 2021 - books.google.com
We consider covering labeled trees by a collection of paths with the same string label, called
a (string) cover of a tree. We show how to compute all covers of a directed (rooted) labeled …