On the Stanley-Wilf conjecture for the number of permutations avoiding a given pattern.
Arratia, Richard (1999)
The Electronic Journal of Combinatorics [electronic only]
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Arratia, Richard (1999)
The Electronic Journal of Combinatorics [electronic only]
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J. Denés, K. Schermann (1968)
Matematički Vesnik
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Marian Rejewski (1980)
Applicationes Mathematicae
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Raykova, Mariana (2006)
The Electronic Journal of Combinatorics [electronic only]
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Robertson, Aaron (1999)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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Mansour, Toufik (2004)
International Journal of Mathematics and Mathematical Sciences
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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.
F. Morley (1893/94)
Bulletin of the New York Mathematical Society
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Augustine Munagi (2014)
Open Mathematics
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The study of parity-alternating permutations of {1, 2, … n} is extended to permutations containing a prescribed number of parity successions - adjacent pairs of elements of the same parity. Several enumeration formulae are computed for permutations containing a given number of parity successions, in conjunction with further parity and length restrictions. The objects are classified using direct construction and elementary combinatorial techniques. Analogous results are derived for circular...
Barcucci, Elena, Del Lungo, Alberto, Pergola, Elisa, Pinzani, Renzo (2000)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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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...
Smith, Rebecca (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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Martin, Nigel, Stong, Richard (2003)
The Electronic Journal of Combinatorics [electronic only]
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