Results 11 to 20 of about 3,157 (213)
The power graph of a torsion-free group determines the directed power graph [PDF]
Discrete Applied Mathematics, 2021 The directed power graph $\vec{\mathcal G}(\mathbf G)$ of a group $\mathbf G$ is the simple digraph with vertex set $G$ such that $x\rightarrow y$ if $y$ is a power of $x$. The power graph of $\mathbf G$, denoted with $\mathcal G(\mathbf G)$, is the underlying simple graph. In this paper, for groups $\mathbf G$ and $\mathbf H$, the following is proved.
Samir Zahirovic
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A Review of Graph Neural Networks and Their Applications in Power Systems
Journal of Modern Power Systems and Clean Energy, 2022 Deep neural networks have revolutionized many machine learning tasks in power systems, ranging from pattern recognition to signal processing. The data in these tasks are typically represented in Euclidean domains.
Wenlong Liao +4 more
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Coloring the Power Graph of a Semigroup [PDF]
Graphs and Combinatorics, 2017 note, 4 ...
Yaroslav Shitov, Shitov Yaroslav
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On the difference of the enhanced power graph and the power graph of a finite group
Journal of Combinatorial Theory - Series AzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Angsuman Das, Peter Cameron
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Planarity of Inclusion Graph of Cyclic Subgroups of Finite Group [PDF]
Mathematics Interdisciplinary Research, 2020 Let G be a finite group. The inclusion graph of cyclic subgroups of G, Ic(G), is the (undirected) graph with vertices of all cyclic subgroups of G, and two distinct cyclic subgroups ⟨a⟩ and ⟨b⟩, are adjacent if and only if ⟨a⟩ ⊂ ⟨b⟩ or ⟨b⟩ ⊂ ⟨a⟩. In this
Zahra Garibbolooki, Sayyed Heidar Jafari
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Descending endomorphism graphs of groups
AKCE International Journal of Graphs and Combinatorics, 2023 We define a new type of graph of a group with reference to the descending endomorphisms of the group. A descending endomorphism of a group is an endomorphism that induces a corresponding endomorphism in every homomorphic image of the group. We define the
Vinay Madhusudanan +2 more
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The First Zagreb Index, The Wiener Index, and The Gutman Index of The Power of Dihedral Group
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2023 Research on graphs combined with groups is an interesting topic in the field of combinatoric algebra where graphs are used to represent a group. One type of graph representation of a group is a power graph.
Evi Yuniartika Asmarani +5 more
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Power Graphs Defined on Non-Commutative Non-Associative Moufang Loops [PDF]
Advances in Group Theory and Applications, 2023 For a non-abelian group G of order n and for an odd prime p we present the non-commutative non-associative Moufang loop M = Mpn(G, p) of order pn. We name this loop the generalized Chein loop in celebrating the Chein loop defined in 1974 by Orin Chein ...
Fatemeh Samnia, Yadollah Marefat
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Graph Powers and Graph Homomorphisms [PDF]
The Electronic Journal of Combinatorics, 2010 In this paper, we investigate some basic properties of fractional powers. In this regard, we show that for any non-bipartite graph $G$ and positive rational numbers ${2r+1\over 2s+1} < {2p+1\over 2q+1}$, we have $G^{2r+1\over 2s+1} < G^{2p+1\over 2q+1}$. Next, we study the power thickness of $G$, that is, the supremum of rational numbers ${2r+
Hossein Hajiabolhassan, Ali Taherkhani
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THE POWER GRAPH REPRESENTATION FOR INTEGER MODULO GROUP WITH POWER PRIME ORDER
Barekeng, 2023 There are many applications of graphs in various fields. Starting from chemical problems, such as the molecular shape of a compound to internet network problems, we can also use graphs to depict the abstract concept of a mathematical structure..
Lalu Riski Wirendra Putra +4 more
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