Results 21 to 30 of about 22,256 (275)

McKay graphs for alternating and classical groups [PDF]

open access: yesTransactions of the American Mathematical Society, 2021
Let G G be a finite group, and
Liebeck, M, Shalev, A, Tiep, PH
openaire   +3 more sources

The clique number of the intersection graph of a cyclic group of order with at most three prime factors [PDF]

open access: yesریاضی و جامعه, 2023
Let $G$ be a finite non-trivial group. The intersection graph $\Gamma(G)$, is a graph whose vertices are all proper non-trivial subgroups of $G$, and there is an edge between two distinct vertices $H $ and $K$ if and only if $H\cap K\neq 1$.
Seyyed Majid Jafarian Amiri   +1 more
doaj   +1 more source

Stable K Multiple-Means Clustering Algorithm

open access: yesJisuanji kexue yu tansuo, 2021
For improving the performance of K-means on the nonconvex cluster, a multiple-means clustering method with specified K clusters partitions the original data into multiple subclasses, and formalizes the multiple-means clustering problem as an optimization
ZHANG Nini, GE Hongwei
doaj   +1 more source

Parcellation-induced variation of empirical and simulated brain connectomes at group and subject levels

open access: yesNetwork Neuroscience, 2021
Recent developments of whole-brain models have demonstrated their potential when investigating resting-state brain activity. However, it has not been systematically investigated how alternating derivations of the empirical structural and functional ...
Justin W. M. Domhof   +3 more
doaj   +1 more source

Maximal cocliques in the generating graphs of the alternating and symmetric groups

open access: yesCombinatorial Theory, 2022
The generating graph $Γ(G)$ of a finite group $G$ has vertex set the non-identity elements of $G$, with two elements connected exactly when they generate $G$. A coclique in a graph is an empty induced subgraph, so a coclique in $Γ(G)$ is a subset of $G$ such that no pair of elements generate $G$.
Veronica Kelsey, Colva M. Roney-Dougal
openaire   +5 more sources

Top-Down Construction of Independent Spanning Trees in Alternating Group Networks

open access: yesIEEE Access, 2020
A set of spanning trees in a graph G is called independent spanning trees (ISTs) if they are rooted at the same vertex r, and for each vertex v(≠ r) in G, the two paths from v to r in any two trees share no common vertex expect for v and r.
Jie-Fu Huang   +3 more
doaj   +1 more source

Measuring the Vulnerability of Alternating Group Graphs and Split-Star Networks in Terms of Component Connectivity

open access: yesIEEE Access, 2019
For an integer ℓ ≥ 2, the ℓ-component connectivity of a graph G, denoted by κℓ(G), is the minimum number of vertices whose removal from G results in a disconnected graph with at least ℓ components or a graph with
Mei-Mei Gu, Rong-Xia Hao, Jou-Ming Chang
doaj   +1 more source

Vulnerability issues of star graphs, alternating group graphs and split-stars: strength and toughness [PDF]

open access: yes, 2002
Akers et al. (Proceedings of the International Conference on Parallel Processing, 1987, pp. 393–400) proposed an interconnection topology, the star graph, as an alternative to the popular n-cube. Jwo et al.
Marc J. Lipman   +3 more
core   +1 more source

Graph-Based Clustering via Group Sparsity and Manifold Regularization

open access: yesIEEE Access, 2019
Clustering refers to the problem of partitioning data into several groups according to the predefined criterion. Graph-based method is one of main clustering approaches and has been shown impressive performance in many literatures.
Jianyu Miao   +3 more
doaj   +1 more source

Generating the alternating group by cyclic triples [PDF]

open access: yes, 1975
It is shown that a collection of circular permutations of length three on an n-set generates the alternating group An if and only if the associated graph is connected.
Lewin, Mordechai, Mordechai Lewin
core   +1 more source

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