How many runs can a string contain?

DOI10.1016/j.tcs.2008.04.020zbMath1155.68070OpenAlexW1998674287MaRDI QIDQ935160

W. F. Smyth, Simon J. Puglisi, R. Jamie Simpson

Publication date: 31 July 2008

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: http://researchrepository.murdoch.edu.au/id/eprint/27960/

zbMATH Keywords

periodicityrepetitionstringrun

Mathematics Subject Classification ID

Combinatorics on words (68R15)

Related Items (29)

Prefix frequency of lost positions ⋮ Lower bounds for the number of repetitions in 2D strings ⋮ Computing primitively-rooted squares and runs in partial words ⋮ The total run length of a word ⋮ Towards a Solution to the “Runs” Conjecture ⋮ On the structure of run-maximal strings ⋮ The three squares lemma revisited ⋮ The “Runs” Theorem ⋮ Unnamed Item ⋮ On the average number of regularities in a word ⋮ On the maximal sum of exponents of runs in a string ⋮ Bounds on Powers in Strings ⋮ Not So Many Runs in Strings ⋮ Maximal repetitions in strings ⋮ On the Maximal Sum of Exponents of Runsin a String ⋮ On the density of Lyndon roots in factors ⋮ Bannai et al. method proves the \(d\)-step conjecture for strings ⋮ The maximal number of cubic runs in a word ⋮ Computing regularities in strings: a survey ⋮ On the maximum number of cubic subwords in a word ⋮ The ``runs conjecture ⋮ Optimal bounds for computing \({\alpha}\)-gapped repeats ⋮ Some results on the number of periodic factors in words ⋮ A Series of Run-Rich Strings ⋮ On primary and secondary repetitions in words ⋮ Repetitions in strings: algorithms and combinatorics ⋮ AVERAGE VALUE OF SUM OF EXPONENTS OF RUNS IN A STRING ⋮ Asymptotic behavior of the numbers of runs and microruns ⋮ Three overlapping squares: the general case characterized \& applications

Cites Work

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• Maximal repetitions in strings
• Intersecting periodic words
• An optimal algorithm for computing the repetitions in a word
• Fine and Wilf's theorem for three periods and a generalization of Sturmian words
• Detecting leftmost maximal periodicities
• The number of runs in a string
• AN ASYMPTOTIC LOWER BOUND FOR THE MAXIMAL NUMBER OF RUNS IN A STRING
• Uniqueness Theorems for Periodic Functions
• The Number of Runs in a String: Improved Analysis of the Linear Upper Bound
• A New Periodicity Lemma

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