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Federated two-edge graph attention network with weighted global aggregation for electricity consumption demand forecasting. [PDF]
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Prior-Knowledge-Guided Graph Attention Network for Fault Diagnosis of Engine Valve Clearance. [PDF]
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A spectral- topological network signature of drug-resistant epilepsy: a phase 1-2 study on resting-state EEG-based diagnostic biomarkers of drug resistance. [PDF]
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Research on structural damage identification based on temporal power flow graph network. [PDF]
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On enhanced power graphs of finite groups
Given a group [Formula: see text], the enhanced power graph of [Formula: see text], denoted by [Formula: see text], is the graph with vertex set [Formula: see text] and two distinct vertices [Formula: see text] and [Formula: see text] are edge connected in [Formula: see text] if there exists [Formula: see text] such that [Formula: see text] and ...
Bera, Sudip, Bhuniya, A. K.
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On enhanced power graphs of certain groups
Discrete Mathematics, Algorithms and Applications, 2020The enhanced power graph [Formula: see text] of a group [Formula: see text] is a simple undirected graph with vertex set [Formula: see text] and two distinct vertices [Formula: see text] are adjacent if both [Formula: see text] and [Formula: see text] belongs to same cyclic subgroup of [Formula: see text].
Sandeep Dalal, Jitender Kumar
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Enhanced power graphs are weakly perfect [PDF]
Summary: A graph is weakly perfect if its clique number and chromatic number are equal. We show that the enhanced power graph of a finite group \(G\) is weakly perfect: its clique number and chromatic number are equal to the maximum order of an element of \(G\). The proof requires a combinatorial lemma. We give some remarks about related graphs.
Peter J. Cameron, Veronica Phan
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