Results 11 to 20 of about 96,071 (258)
A survey on enhanced power graphs of finite groups
Summary: We survey known results on enhanced power graphs of finite groups. Open problems, questions and suggestions for future work are also included.
Xuanlong Ma +3 more
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Enhanced power graphs of certain non-abelian groups
The enhanced power graph of a group [Formula: see text] is a simple undirected graph with vertex set [Formula: see text] and two vertices are adjacent if they belong to the same cyclic subgroup. In this paper, we obtain the Laplacian spectrum of the enhanced power graph of certain non-abelian groups, viz.
Parveen, Dalal, Sandeep, Kumar, Jitender
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On Difference of Enhanced Power Graph and Power Graph of a Finite Group
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Biswas, Sucharita +3 more
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On the Structure of the Power Graph and the Enhanced Power Graph of a Group
Let $G$ be a group. The power graph of $G$ is a graph with the vertex set $G$, having an edge between two elements whenever one is a power of the other. We characterize nilpotent groups whose power graphs have finite independence number. For a bounded exponent group, we prove its power graph is a perfect graph and we determine its clique ...
Ghodratollah Aalipour +4 more
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Perfect codes in power graphs of finite groups
The power graph of a finite group is the graph whose vertex set is the group, two distinct elements being adjacent if one is a power of the other. The enhanced power graph of a finite group is the graph whose vertex set consists of all elements of the ...
Ma Xuanlong +4 more
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Resolving Power Equipment Data Inconsistency via Heterogeneous Network Alignment
This paper studies the problem of resolving data inconsistency from multiple sources in managing data related to power equipment for China’s state grid corporation.
Yuxiang Cai +4 more
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Enhancement of Power Equipment Management Using Knowledge Graph [PDF]
Accurate retrieval of the power equipment information plays an important role in guiding the full-lifecycle management of power system assets. Because of data duplication, database decentralization, weak data relations, and sluggish data updates, the power asset management system eager to adopt a new strategy to avoid the information losses, bias, and ...
Yachen Tang +5 more
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Expert System for BIM 3D Design in Power Transmission and Transformation Engineering Supported by Large Language Model [PDF]
[Objective] To address the issues of insufficient integration of traditional tool specifications and low efficiency in design validation in the 3D design for power transmission and transformation projects, this study explores the collaborative mechanism ...
QI Lizhong, RONG Jingguo, ZHANG Su, HE Xing, LI Xiangzhong
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On the enhanced power graph of a group
The enhanced power graph $\mathcal{P}_e(G)$ of a group $G$ is a graph with vertex set $G$ and two vertices are adjacent if they belong to the same cyclic subgroup. In this paper, we consider the minimum degree, independence number and matching number of enhanced power graphs of finite groups. We first study these graph invariants for $\mathcal{P}_e(G)$
Panda, Ramesh Prasad +2 more
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Research on information construction of knowledge graph based on literature retrieval in english learning [PDF]
This study aimed to explore the construction of an English language knowledge graph based on literature retrieval to support intelligent education. A questionnaire was administered to collect data on students’ experiences with traditional and technology ...
Guolong Zhao
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