Results 251 to 260 of about 15,374,978 (303)

Linked systems of symmetric group divisible designs

Journal of Algebraic Combinatorics, 2016
We introduce the concept of linked systems of symmetric group divisible designs. The connection with association schemes is established, and as a consequence we obtain an upper bound on the number of symmetric group divisible designs which are linked ...
H. Kharaghani, Sho Suda
semanticscholar   +1 more source

Multiple-Attribute Group Decision-Making Based on q-Rung Orthopair Fuzzy Power Maclaurin Symmetric Mean Operators

IEEE Transactions on Systems, Man & Cybernetics. Systems, 2020
To be able to describe more complex fuzzy uncertainty information effectively, the concept of ${q}$ -rung orthopair fuzzy sets ( ${q}$ -ROFSs) was first proposed by Yager.
Peide Liu, Shyi-Ming Chen, Peng Wang
semanticscholar   +1 more source

Symmetric Groups and Lattices

Monatshefte f�r Mathematik, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bergé, Anne-Marie, Martinet, Jacques
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A skein action of the symmetric group on noncrossing partitions

, 2015
We introduce and study a new action of the symmetric group $${\mathfrak {S}}_n$$Sn on the vector space spanned by noncrossing partitions of $$\{1, 2,\ldots , n\}$${1,2,…,n} in which the adjacent transpositions $$(i, i+1) \in {\mathfrak {S}}_n$$(i,i+1)∈Sn
B. Rhoades
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Multiattribute group decision making based on intuitionistic fuzzy partitioned Maclaurin symmetric mean operators

Information Sciences, 2020
In this paper, we propose a new multiattribute group decision making (MAGDM) method based on the proposed weighted partitioned Maclaurin symmetric mean (IFWPMSM) operators for intuitionistic fuzzy numbers (IFNs).
Peide Liu, Shyi-Ming Chen, Yumei Wang
semanticscholar   +1 more source

The symmetric group

2000
In the previous chapters we have considered the four main methods for the construction of spin eigenfunctions. We shall see in Chapter 9 that the main role of the spin functions in the energy expression is connected to the representation matrices of the symmetric group generated by the spin eigenfunctions.
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The probability that a character value is zero for the symmetric group

, 2013
We consider random character values X(g) of the symmetric group on n symbols, where X is chosen at random from the set of irreducible characters and g is chosen at random from the group, and we show that X(g)=0 with probability tending to one as n tends ...
A. Miller
semanticscholar   +1 more source

Skew-symmetric elements in the group algebra of a symmetric group

Algebra and Logic, 1984
Let \(S_ n\) be the symmetric group on \(n\) letters and let \(\rho_ s=\sum_{t\in S_ n}(\text{sign}\;t)t^{-1}st\) for \(s\in S_ n\). The element \(\rho_ s\) depends only (up to a sign) on the conjugacy class of \(s\) and is non-zero if and only if the conjugacy class of \(s\) is determined by a partition with odd pairwise distinct parts. Let \(\lambda =
Zyrichev, A. N., Razmyslov, Yu. P.
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Chromatic Polynomials and the Symmetric Group

Graphs and Combinatorics, 2004
The author gives a new combinatorial interpretation of the coefficients of chromatic polynomials of graphs in terms of subsets of permutations and introduces a combinatorially defined polynomial associated to a directed graph. He proves that it is related to the chromatic polynomials.
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Designs and Representation of the Symmetric Group

Designs, Codes and Cryptography, 2003
A spectral characterization ``à la Delsarte'' is given for colored designs held by codes over non-binary alphabets. The tools include association schemes and also the representation theory of the symmetric group: tableaux, Specht modules, and zonal functions.
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