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Descents of $\lambda$-unimodal cyclic permutations [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2014
We prove an identity conjectured by Adin and Roichman involving the descent set of $\lambda$-unimodal cyclic permutations. These permutations appear in the character formulas for certain representations of the symmetric group and these formulas are ...
Kassie Archer
doaj   +1 more source

Skew characters and cyclic sieving

open access: yesForum of Mathematics, Sigma, 2021
In 2010, Rhoades proved that promotion on rectangular standard Young tableaux, together with the associated fake-degree polynomial, provides an instance of the cyclic sieving phenomenon.
Per Alexandersson   +3 more
doaj   +1 more source

Join Products K2,3 + Cn

open access: yesMathematics, 2020
The crossing number cr ( G ) of a graph G is the minimum number of edge crossings over all drawings of G in the plane. The main goal of the paper is to state the crossing number of the join product K 2 , 3 + C n for the complete ...
Michal Staš
doaj   +1 more source

In-situ Inversion of a Cyclic Permutation

open access: yes, 1985
An algorithm is developed for the in-situ inversion of a cyclic permutation represented in an array. The emphasis is on the quo modo rather than the quod; we are interested in finding concepts and notations for dealing more effectively with formal ...
Van Gasteren, A. J. M.   +2 more
core   +4 more sources

Chosen-Key Secure Even-Mansour Cipher from a Single Permutation

open access: yesIACR Transactions on Symmetric Cryptology, 2023
At EUROCRYPT 2015, Cogliati and Seurin proved that the 4-round Iterated Even-Mansour (IEM) cipher with Independent random Permutations and no key schedule EMIP4(k, u) = k⊕p4 ( k⊕p3 ( k⊕p2 (k⊕p1 (k⊕u))))  is sequentially indifferentiable from an ideal ...
Shanjie Xu, Qi Da, Chun Guo
doaj   +1 more source

On the class of square Petrie matrices induced by cyclic permutations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2004
Let n≥2 be an integer and let P={1,2,…,n,n+1}. Let Zp denote the finite field {0,1,2,…,p−1}, where p≥2 is a prime. Then every map σ on P determines a real n×n Petrie matrix Aσ which is known to contain information on the dynamical properties such as ...
Bau-Sen Du
doaj   +1 more source

Congruences involving generalized Frobenius partitions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1993
The goal of this paper is to discuss congruences involving the function cϕm¯(n), which denotes the number of generalized Frobenius partitions of n with m colors whose order is m under cyclic permutation of the m colors.
James Sellers
doaj   +1 more source

Graph-theoretic properties of inversion-transpositions

open access: yesElectronic Journal of Graph Theory and Applications
Dénés established the connection between labeled trees in Graph Theory and factorizations of cyclic permutations by means of transpositions. In this paper, we introduce the notion of an inversion-transposition, which has both the properties of an ...
Atsuko Katanaga, Takahiro Shiratama
doaj   +1 more source

A note on periods of powers*

open access: yesESAIM: Proceedings and Surveys, 2014
Let f:X → X be a continuous map defined from a topological space X into itself. We discuss the problem of analyzing and computing explicitly the set Per(fp) of periods of the p-th iterate ...
Cánovas J.S., Linero Bas A.
doaj   +1 more source

Comparative Drug Response Profiling in Neuroblastoma Cell Lines and Patient‐Derived Tumor Organoids

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT High‐risk neuroblastoma remains a leading cause of pediatric cancer mortality, and improved preclinical models are needed to guide therapeutic developments. We screened seven high‐risk neuroblastoma cell lines and three patient‐derived tumor organoids with 528 compounds alongside bone marrow controls, and compared them with external datasets ...
Krzysztof Wierbiłowicz   +12 more
wiley   +1 more source

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