Permutations containing and avoiding 123 and 132 patterns.
Robertson, Aaron (1999)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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Robertson, Aaron (1999)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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Paweł Klinga (2016)
Colloquium Mathematicae
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We prove that every permutation of ω² is a composition of a finite number of axial permutations, where each axial permutation moves only a finite number of elements on each axis.
J. Denés, K. Schermann (1968)
Matematički Vesnik
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Raykova, Mariana (2006)
The Electronic Journal of Combinatorics [electronic only]
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Mantaci, Roberto, Rakotondrajao, Fanja (2001)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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F. Morley (1893/94)
Bulletin of the New York Mathematical Society
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Roman Wituła, Edyta Hetmaniok, Damian Słota (2017)
Open Mathematics
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The aim of this paper is to present some new and essential facts about group 𝒢 generated by the family of convergent permutations, i.e. the permutations on ℕ preserving the convergence of series of real terms. We prove that there exist permutations preserving the sum of series which do not belong to 𝒢. Additionally, we show that there exists a family G (possessing the cardinality equal to continuum) of groups of permutations on ℕ such that each one of these groups is different than...
Barcucci, Elena, Del Lungo, Alberto, Pergola, Elisa, Pinzani, Renzo (2000)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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Bóna, Miklós (1998)
The Electronic Journal of Combinatorics [electronic only]
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Smith, Rebecca (2006)
The Electronic Journal of Combinatorics [electronic only]
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Mansour, Toufik (2004)
International Journal of Mathematics and Mathematical Sciences
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Martin, Nigel, Stong, Richard (2003)
The Electronic Journal of Combinatorics [electronic only]
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Atkinson, M.D., Murphy, M.M., Ruškuc, N. (2005)
The Electronic Journal of Combinatorics [electronic only]
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Lewis, Joel Brewster (2009)
The Electronic Journal of Combinatorics [electronic only]
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