Results 71 to 80 of about 256,711 (164)

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

On powers of m-trapezoid graphs

Discrete Applied Mathematics, 1995
The author introduces \(m\)-trapezoid graphs (\(m\)-TGs) as intersection graphs of \(m\)-trapezoids, where an \(m\)-trapezoid is given by \(m+ 1\) intervals on \(m+ 1\) parallel lines. (The class of 0-TGs is the class of interval graphs.) The main result concerns powers of graphs: If \(G^{k- 1}\) is an \(m\)-TG then \(G^k\) is also an \(m\)-TG.
openaire   +1 more source

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

The extreme vertices of the power graph of a group. [PDF]

Heliyon, 2022
AbuGhneim OA, Abudayah M.
europepmc   +1 more source

The Shannon Capacity of Graph Powers

IEEE Transactions on Information Theory
For a graph $G$, its $k$-th graph power $G^k$ is constructed by placing an edge between two vertices if they are within distance $k$. We consider the problem of deriving upper bounds on the Shannon capacity of graph powers by using spectral graph theory and linear optimization methods.
Aida Abiad, Cristina Dalfó, Miguel Angel Fiol   +2 more
openaire   +4 more sources

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

On colorings of graph fractional powers

Discrete Mathematics, 2010
\noindent Let $G$ be a simple graph. For any $k\in N$, the $k-$power of $G$ is a simple graph $G^k$ with vertex set $V(G)$ and edge set $\{xy:d_G(x,y)\leq k\}$ and the $k-$subdivision of $G$ is a simple graph $G^{\frac{1}{k}}$, which is constructed by replacing each edge of $G$ with a path of length $k$.
openaire   +3 more sources

Power spectrum signatures of graphs

Applied and Computational Harmonic Analysis
Point signatures based on the Laplacian operators on graphs, point clouds, and manifolds have become popular tools in machine learning for graphs, clustering, and shape analysis. In this work, we propose a novel point signature, the power spectrum signature, a measure on $\mathbb{R}$ defined as the squared graph Fourier transform of a graph signal ...
Ka Man Yim, Karamatou Yacoubou Djima
openaire   +2 more sources

Power Prediction of Regional Photovoltaic Power Stations Based on Meteorological Encryption and Spatio-Temporal Graph Networks

Energies
Distributed photovoltaic (PV) power stations generally lack historical meteorological data, which is one of the main reasons for their insufficient power prediction accuracy.
Shunli Deng, Shuangxi Cui, Anchen Xu
doaj   +1 more source

Conceptual design of a decision knowledge service model integrating a multi-agent supply relationship diagram for electric power emergency equipment

Frontiers in Big Data
IntroductionThe decision regarding the supply of emergency equipments for power emergencies requires timeliness, efficiency, and accuracy. The multi-agent supply relationship graph, based on complex data fusion, enables the comprehensive exploration of ...
Jiandong Si, Chang Liu, Jingxian Ye, Jianfeng Wu, Jianguo Wang, Kairui Hu, Chunhua Ju, Qianwen Cao   +7 more
doaj   +1 more source