[PDF] Top 20 Characterization of the symmetric group by its non-commuting graph
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Characterization of the symmetric group by its non-commuting graph
... a group. The non-commuting graph ∇(G) of G is defined as follows: the set of vertices of ∇(G) is G − Z(G), where Z(G) is the center of G and two vertices are connected whenever they do not ... See full document
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On large arbitrary left path within a semigroup
... finite non commutative semigroup and a 1 − a 2 − a 3 − ...semi group S, denoted by ...in its commuting graph is 2m − 2, for any positive number ... See full document
8
Vector Space semi-Cayley Graphs
... finite, symmetric S = S −1 and the identity element of the group is excluded ...Cayley graph is a simple undirected ...of non-identity elements G instead of being a generating set. A Cayley ... See full document
9
DESIGN AND CHARACTERIZATION OF SOME NEW NON SYMMETRIC SUBSTITUTED TRIAZINES AND TRIAZINE DERIVATIVES
... positions (1 st , 3 rd and 5 th positions) with various pharmacophores 9 . s-triazine compounds containing both -C=N- moiety and thiol group are of interest in agriculture and biological processes 10 . 1,3,5- ... See full document
6
Lifting symmetric pictures to polyhedral scenes
... combinatorial characterization of those pictures which have a unique sharp lifting if realized generically in (d − 1)-space (without symmetry) is given by the Picture Theorem (recall Theorem ...combinatorial ... See full document
18
The coprime graph of a group
... a group were defined. For example, prime graph [6] and the non-commuting graph [1], and of course Cayley graphs, which have a long ... See full document
11
A Kind of Non-commuting Graph of Finite Groups
... a group is bigger than half, then G is ...between group theory and graph theory is to associate a graph to the group G, which is denoted by Γ G ...The non-commuting ... See full document
6
A new characterization of some alternating and symmetric groups
... prime graph of G as follows. The prime graph Γ (G) of a group G is the graph whose vertex set is π(G) , and two distinct primes p and q are joined by an edge (we write p ∼ q ) if and only if G ... See full document
10
On the generalized commuting and non-commuting graphs for metacyclic 3-groups
... generalized commuting and non-commuting graphs of metacyclic 3-groups of Type 1 and Type ...generalized commuting graph, followed by the generalized non-commuting ...3- ... See full document
5
Commuting involution graphs for [(A)\tilde]n
... of symmetric groups were considered in ...sider commuting involution graphs in the affine Coxeter group of type ˜ A n ...the graph is disconnected or it has diameter at most ... See full document
10
Some Topological Indices of Subgroup Graph of Symmetric Group
... the symmetric group 𝑆𝑆 𝑛𝑛 contains all permutations on the set ℕ 𝑛𝑛 = {1, 2, 3, … , 𝑛𝑛} under the composition function ...The symmetric group 𝑆𝑆 𝑛𝑛 is a non-commutative group of ... See full document
8
The symmetric group and the unitary group : an application of group subgroup transformation theory
... in analogy to the coupling factor and recoupling coefficient of the Racah-Wigner algebra, the symmetries and a calculational method of other transformation factors including the inductio[r] ... See full document
193
Graph Regionalization with Clustering and Partitioning: an Application for Daily Commuting Flows in Albania
... In our opinion, the derived regions (as well as the 6 subgroups) effectively represent the territorial and demographic imbalances that characterize today’s Albania. Here, mountainous and less developed areas are composed ... See full document
20
On Cyclicity and Regularity of Commuting Matrices
... We start with a definition of a non-derogatory se- quence of commuting matrices. Since the characteristic polynomial of an n × n matrix L is of degree n hence an equivalent definition of a ... See full document
5
Minimal factorizations of permutations into star transpositions
... Notice that Theorem 1 asserts that the number of minimal transitive star fac- torizations of a permutation π depends only on the conjugacy class of π (that is, the length of its cycles). This is certainly not ... See full document
14
Symmetric subgroups in modular group algebras
... Study of units and their properties is one of the main research problems in group ring theory. Results obtained in this direction are also useful for the investigation of Lie properties of group rings, ... See full document
5
A natural boundary for the dynamical zeta function for commuting group automorphisms
... This confirms Lind’s conjecture in a setting which includes, for example, the well-known Z 2 -action generated by multiplication by 2 and by 3 on the solenoid dual to Z[ 1 6 ], any mixing action generated by finitely ... See full document
9
Classification of the pentavalent symmetric graphs of order 18p
... simple group and Z an abelian ...derived group E 0 = E, we call E a covering group of ...every non-abelian simple group G there is a unique maximal covering group M such that ... See full document
13
On pairs of automorphisms of von Neumann algebras
... + -I =+8 -I In this paper we prove a general decomposition theorem in the non-commuting situation as compared to the usual commuting case see references and prove that there exists a cen[r] ... See full document
6
VULNERABILITY IN NETWORKS
... In graph theory, complement graphs discussed in the previous theorem have a great ...theoretical graph concepts which contains com- plement graph ...a graph will allow us to make comments for ... See full document
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