Results 121 to 130 of about 104,321 (158)

Learning the reaction coordinate: collective variables from physical intuition to generative models.

open access: yesDigit Discov
Talmazan RA   +5 more
europepmc   +1 more source

On the Connectivity of Enhanced Power Graphs of Finite Groups

open access: yesGraphs and Combinatorics, 2021
This paper deals with the vertex connectivity of enhanced power graph of finite group. We classify all abelian groups G such that vertex connectivity of enhanced power graph of G is 1. We derive an upper bound of vertex connectivity for the enhanced power graph of any general abelian group G.
Sudip Bera
exaly   +5 more sources

On the difference of the enhanced power graph and the power graph of a finite group

open access: yesJournal of Combinatorial Theory - Series A
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Angsuman Das   +2 more
exaly   +5 more sources
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On the proper enhanced power graphs of finite nilpotent groups

Journal of Group Theory, 2022
Abstract For a group 𝐺, the enhanced power graph of 𝐺 is a graph with vertex set 𝐺 in which two distinct vertices x , y
Sudip Bera
exaly   +3 more sources

On enhanced power graphs of certain groups

Discrete Mathematics, Algorithms and Applications, 2020
The enhanced power graph [Formula: see text] of a group [Formula: see text] is a simple undirected graph with vertex set [Formula: see text] and two distinct vertices [Formula: see text] are adjacent if both [Formula: see text] and [Formula: see text] belongs to same cyclic subgroup of [Formula: see text].
Sandeep Dalal, Jitender Kumar
openaire   +1 more source

Certain properties of the enhanced power graph associated with a finite group

open access: yesActa Mathematica Hungarica, 2023
The enhanced power graph of a finite group $G$, denoted by $\mathcal{P}_E(G)$, is the simple undirected graph whose vertex set is $G$ and two distinct vertices $x, y$ are adjacent if $x, y \in \langle z \rangle$ for some $z \in G$. In this article, we determine all finite groups such that the minimum degree and the vertex connectivity of $\mathcal{P}_E(
Kumar, J., Ma, X., Parveen, Singh, S.
exaly   +4 more sources

On the enhanced power graph of a finite group

Communications in Algebra, 2020
The enhanced power graph Pe(G) of a group G is a graph with vertex set G and two vertices are adjacent if they belong to the same cyclic subgroup.
Ramesh Prasad Panda   +2 more
openaire   +1 more source

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