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• W2092545680 abstract "Motivated by a new point of view to study occurrences of consecutive patterns in permutations, we introduce the notion of uniquely k-determined permutations. We give two criteria for a permutation to be uniquely k-determined: one in terms of the distance between two consecutive elements in a permutation, and the other one in terms of directed hamiltonian paths in the certain graphs called path-schemes. Moreover, we describe a finite set of prohibitions that gives the set of uniquely k-determined permutations. Those prohibitions make the application of the transfer matrix method possible for determining the number of uniquely k-determined permutations." @default.
• W2092545680 created "2016-06-24" @default.
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• W2092545680 date "2008-05-01" @default.
• W2092545680 modified "2023-09-23" @default.
• W2092545680 title "On uniquely <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si23.gif overflow=scroll><mml:mi>k</mml:mi></mml:math>-determined permutations" @default.
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• W2092545680 doi "https://doi.org/10.1016/j.disc.2007.03.079" @default.
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