Results 81 to 90 of about 8,152,507 (265)
Metric and strong metric dimension in TI-power graphs of finite groups
Given a finite group $ G $ with the identity $ e $, the TI-power graph (trivial intersection power graph) of $ G $ is an undirected graph with vertex set $ G $, in which two distinct vertices $ x $ and $ y $ are adjacent if $ \langle x\rangle\cap \langle
Chunqiang Cui, Jin Chen, Shixun Lin
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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 +6 more
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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 +6 more
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Graph Kernels via Functional Embedding [PDF]
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
Distinguishing Cartesian Powers of Graphs [PDF]
Given a graph $G$, a labeling $c:V(G) \rightarrow \{1, 2, \ldots, d\}$ is said to be $d$-distinguishing if the only element in ${\rm Aut}(G)$ that preserves the labels is the identity. The distinguishing number of $G$, denoted by $D(G)$, is the minimum $d$ such that $G$ has a $d$-distinguishing labeling.
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A comprehensive large scale biomedical knowledge graph for AI powered data driven biomedical research [PDF]
Yuan Zhang +19 more
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Notes on the diameter of the complement of the power graph of a finite group [PDF]
Xuanlong Ma +2 more
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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
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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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The concept of magic graph was introduced by J. Sedláček. A valuation of the edges of a graph by pairwise different positive numbers is called magic, if the sum of values of edges incident with a given vertex is the same for all vertices. If there exists a magic valuation of a graph \(G\), then \(G\) is called a magic graph.
Trenkler, M., Vetchý, V.
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