Results 51 to 60 of about 1,356,811 (224)

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, Ahmad Gholami, Zeinab Mehranian   +2 more
doaj   +1 more source

Analysis of the Web Graph Aggregated by Host and Pay-Level Domain

, 2018
In this paper the web is analyzed as a graph aggregated by host and pay-level domain (PLD). The web graph datasets, publicly available, have been released by the Common Crawl Foundation and are based on a web crawl performed during the period May-June ...
A Barabasi, A Clauset, J Leskovec, R Kumar, R Meusel   +4 more
core   +2 more sources

The extreme vertices of the power graph of a group

Heliyon, 2022
For a fixed finite group G, the power graph of G was defined to be the simple graph Γ(G) whose vertex set V(Γ(G))=G, and edge set E(Γ(G))={xy: either x=yn or y=xn for some integer n}.
Omar A. AbuGhneim, Mohammed Abudayah
doaj   +1 more source

Forbidden subgraphs of TI-power graphs of finite groups

Open Mathematics
Given a finite group GG with identity ee, the TI-power graph (trivial intersection power graph) defined on GG, denoted by Γ(G)\Gamma \left(G), is an undirected graph with vertex set GG where distinct vertices aa and bb are adjacent if ⟨a⟩∩⟨b⟩={e}\langle ...
Li Huani, Chen Jin, Lin Shixun
doaj   +1 more source

Rainbow Connection Number of Graph Power and Graph Products [PDF]

Graphs and Combinatorics, 2013
15 pages.
Basavaraju, Manu, Chandran, Sunil L, Rajendraprasad, Deepak, Ramaswamy, Arunselvan   +3 more
openaire   +2 more sources

Efficient State Estimation Through Rapid Topological Analysis Based on Spatiotemporal Graph Methodology

IEEE Open Access Journal of Power and Energy
The seamless integration of swift and precise topological analysis with state estimation is crucial for ensuring the dependability, stability, and efficiency of the power system.
Zhen Dai, Shouyu Liang, Yachen Tang, Jun Tan, Guangyi Liu, Qinyu Feng, Xuanang Li   +6 more
doaj   +1 more source

Notes on the diameter of the complement of the power graph of a finite group [PDF]

, 2021
Xuanlong Ma, Alireza Doostabadi, Kaishun Wang   +2 more
openalex   +1 more source

A Concurrent Fault Diagnosis Method of Transformer Based on Graph Convolutional Network and Knowledge Graph

Frontiers in Energy Research, 2022
In complex power systems, when power equipment fails, multiple concurrent failures usually occur instead of a single failure. Concurrent failures are so common and hidden in complex systems that diagnosis requires not only analysis of failure ...
Liqing Liu, Liqing Liu, Bo Wang, Fuqi Ma, Quan Zheng, Liangzhong Yao, Chi Zhang, Chi Zhang, Mohamed A. Mohamed   +8 more
doaj   +1 more source

Spatiotemporal Data Graph Modeling and Exploration of Application Scenarios in “Power Grid One Graph”

CSEE Journal of Power and Energy Systems
By modeling the spatiotemporal data of the power grid, it is possible to better understand its operational status, identify potential issues and risks, and take timely measures to adjust and optimize the system. Compared to the bus-branch model, the node-
Peng Li, Zhen Dai, Yachen Tang, Guangyi Liu, Jiaxuan Hou, Qinyu Feng, Quanchen Lin   +6 more
doaj   +1 more source

Graph Kernels via Functional Embedding [PDF]

, 2014
We propose a representation of graph as a functional object derived from the power iteration of the underlying adjacency matrix. The proposed functional representation is a graph invariant, i.e., the functional remains unchanged under any reordering of ...
Li, Ping, Shrivastava, Anshumali
core