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, 2011 The topological (graph) structure of complex networks often provides valuable information about the performance and vulnerability of the network. However, there are multiple ways to represent a given network as a graph.
Barrows, Clayton +3 more
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Signless Laplacian spectrum of power graphs of finite cyclic groups
AKCE International Journal of Graphs and Combinatorics, 2020 In this paper, we have studied the Signless Laplacian spectrum of the power graph of finite cyclic groups. We have shown that is an eigen value of Signless Laplacian of the power graph of with multiplicity at least In particular, using the theory of ...
Subarsha Banerjee, Avishek Adhikari
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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.
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On groups with specified quotient power graphs [PDF]
International Journal of Group Theory, 2016 . In this paper we study some relations between the power andquotient power graph of a finite group. These interesting relations motivateus to find some graph theoretical properties of the quotient power graphand the proper quotient power graph of a ...
Mostafa Shaker, Mohammadali Iranmanesh
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Global Energy Interconnection, 2023 Operation control of power systems has become challenging with an increase in the scale and complexity of power distribution systems and extensive access to renewable energy.
Kai Xiao +4 more
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Graph Powering and Spectral Robustness
SIAM Journal on Mathematics of Data Science, 2020 Spectral algorithms, such as principal component analysis and spectral clustering, typically require careful data transformations to be effective: upon observing a matrix $A$, one may look at the spectrum of $ (A)$ for a properly chosen $ $. The issue is that the spectrum of $A$ might be contaminated by non-informational top eigenvalues, e.g., due to
Abbe, Emmanuel +3 more
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Boxicity and Cubicity of Product Graphs
, 2013 The 'boxicity' ('cubicity') of a graph G is the minimum natural number k such that G can be represented as an intersection graph of axis-parallel rectangular boxes (axis-parallel unit cubes) in $R^k$.
Chandran, L. Sunil +3 more
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FEBS Letters, EarlyView.Enteropathogenic E. coli (EPEC) infects the human intestinal epithelium, resulting in severe illness and diarrhoea. In this study, we compared the infection of cancer‐derived cell lines with human organoid‐derived models of the small intestine. We observed a delayed in attachment, inflammation and cell death on primary cells, indicating that host ...
Mastura Neyazi +5 more
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Zhongguo dianliAs the widespread integration of new energy and interconnection of large power grids, the operation modes of power systems are undergoing transformations, which leads to a fast surge in data volumes and higher demands for real-time information processing,
Pei ZHANG +8 more
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Automorphism group of certain power graphs of finite groups
Electronic Journal of Graph Theory and Applications, 2017 The power graph $\mathcal{P}(G)$ of a group $G$ is the graphwith group elements as vertex set and two elements areadjacent if one is a power of the other. The aim of this paper is to compute the automorphism group of the power graph of several well-known
Ali Reza Ashrafi +2 more
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