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Palindromic permutations and generalized Smarandache palindromic permutations
The idea of left(right) palindromic permutations(LPPs,RPPs) and left(right) generalized Smarandache palindromic permutations(LGSPPs,RGSPPs) are introduced in symmetric groups S_n of degree n.
Jaiyeola, Temitope Gbolahan
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We study the palindrome complexity of infinite sequences on finite alphabets, i.e., the number of palindromic factors (blocks) of given length occurring in a given sequence. We survey the known results and obtain new results for some sequences, in particular for Rote sequences and for fixed points of primitive morphisms of constant length belonging to ...
JeanāPaul Allouche+3 more
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S Mattingly+4 more
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The palindromization map has been defined initially by Aldo de Luca in the context of Sturmian words. It was extended to the free group of rank $2$ by Kassel and the second autho We extend their construction to arbitrary alphabets. We also investigate the suffix automaton and compact suffix automaton of the words obtained by palindromization.
Dominique Perrin, Christophe Reutenauer
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In this paper, we study combinatorial and structural properties of a new class of finite and infinite words that are 'rich' in palindromes in the utmost sense. A characteristic property of so-called "rich words" is that all complete returns to any palindromic factor are themselves palindromes.
Glen, A.+3 more
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EERTREE: An Efficient Data Structure for Processing Palindromes in Strings [PDF]
We propose a new linear-size data structure which provides a fast access to all palindromic substrings of a string or a set of strings. This structure inherits some ideas from the construction of both the suffix trie and suffix tree. Using this structure,
Rubinchik, Mikhail, Shur, Arseny M.
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Detecting Breakage Fusion Bridge cycles in tumor genomes -- an algorithmic approach [PDF]
Breakage-Fusion-Bridge (BFB) is a mechanism of genomic instability characterized by the joining and subsequent tearing apart of sister chromatids. When this process is repeated during multiple rounds of cell division, it leads to patterns of copy number ...
Bafna, Vineet+2 more
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Block Palindromes: A New Generalization of Palindromes [PDF]
We study a new generalization of palindromes and gapped palindromes called block palindromes. A block palindrome is a string that becomes a palindrome when identical substrings are replaced with a distinct character. We investigate several properties of block palindromes and in particular, study substrings of a string which are block palindromes. In so
Keisuke Goto+3 more
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