Results 101 to 110 of about 1,376 (263)
On the nontrivial extremal eigenvalues of graphs
Discrete MathematicsWe present a finer quantitative version of an observation due to Breuillard, Green, Guralnick and Tao which tells that for finite non-bipartite Cayley graphs, once the nontrivial eigenvalues of their normalized adjacency matrices are uniformly bounded away from $1$, then they are also uniformly bounded away from $-1$. Unlike previous works which depend
Wenbo Li, Shiping Liu
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Advanced Materials, EarlyView.This review highlights the role of self‐assembled monolayers (SAMs) in perovskite solar cells, covering molecular engineering, multifunctional interface regulation, machine learning (ML) accelerated discovery, advanced device architectures, and pathways toward scalable fabrication and commercialization for high‐efficiency and stable single‐junction and
Asmat Ullah, Ying Luo, Stefaan De Wolf
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Thickness and antithickness of graphs
Journal of Computational Geometry, 2018 This paper studies questions about duality between crossings and non-crossings in graph drawings via the notions of thickness and antithickness. The thickness of a graph $G$ is the minimum integer $k$ such that in some drawing of $G$, the edges can be ...
Vida Dujmović, David R. Wood
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On the extreme eigenvalues of regular graphs
Journal of Combinatorial Theory, Series B, 2006 accepted to J.Combin.Theory, Series B.
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Organic Materials of Tomorrow: Horizons of Artificial Intelligence
Advanced Materials, EarlyView.This review examines machine learning techniques accelerating the discovery of organic semiconductors by linking molecular structure to properties. Key methods include graph neural networks, generative models, and active learning. Applications to organic photovoltaics demonstrate practical impact.
Harold Mena +3 more
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Extremal graphs for the odd prism
Discrete MathematicsThe Turán number $\mathrm{ex}(n,H)$ of a graph $H$ is the maximum number of edges in an $n$-vertex graph which does not contain $H$ as a subgraph. The Turán number of regular polyhedrons was widely studied in a series of works due to Simonovits. In this paper, we shall present the exact Turán number of the prism $C_{2k+1}^{\square} $, which is defined ...
Xiaocong He, Yongtao Li, Lihua Feng
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Advanced Materials, EarlyView.Field‐programmed anisotropy imparts material‐level intelligence to soft composites. Magnetic torque dynamics drive magneto‐piezoelectric nanowires from random dispersion into deterministic axial alignment. The resulting hierarchical percolation networks confine electromechanical coupling to specific axes and intrinsically decouple superposed force ...
Yubin Kim +9 more
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Extremal Topological Indices with Prescribed Degree Sequences
Vestnik KRAUNC: Fiziko-Matematičeskie NaukiThis paper explores the extremal properties and bounds of two significant topological indices in graph theory: the Albertson and Sigma indices, with an emphasis on trees and bipartite graphs.
Hamoud, J., Belov, A.Ya.
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Optoelectronic Nanofluidic Neural Networks for Ionic Computing
Advanced Materials, EarlyView.An ion‐based optoelectronic nanofluidic memristor enables neuromorphic computing in aqueous environments. With tunable ionic memory and multimodal synaptic plasticity, it realizes densely connected ionic neural networks capable of image classification, motion prediction, logic computation, and real‐time in‐sensor computing, advancing fully connected ...
Yaxin Huang +10 more
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Advanced Materials, EarlyView.Mixed‐cation lead mixed‐halide perovskites suffer from structural instabilities linked to nanoscale heterogeneity. To probe this non‐destructively, a low‐dose, concurrent 4D‐STEM and EDX methodology has been developed. Examining a (FA0.83Cs0.17)Pb(I0.8Br0.2)3 film revealed a complex mosaic of coexisting crystal structures. Crucially, local deficiencies
Jinseok Ryu +6 more
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