Results 121 to 130 of about 322,612 (279)
Tails of Bipartite Distance-regular Graphs
European Journal of Combinatorics, 2002 Let \(\Gamma \) denote a bipartite distance-regular graph with diameter \(D\geq 4\) and valency \(k\geq 3\). Let \(\theta _{0}>\theta _{1}>\cdots >\theta _{D}\) denote the eigenvalues of \(\Gamma \) and let \(E_{0}, E_{1},\ldots ,E_{D}\) denote the associated primitive idempotents.
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Beyond the Edge: Charge‐Transfer Excitons in Organic Donor‐Acceptor Cocrystals
Advanced Functional Materials, EarlyView.Complex excitonic landscapes in acene–perfluoroacene cocrystals are unveiled by polarization‐resolved optical spectroscopy and many‐body theory. This systematic study of a prototypical model system for weakly interacting donor–acceptor compounds challenges common views of charge‐transfer excitons, providing a refined conceptual framework for ...
Sebastian Anhäuser +6 more
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The Neighbor Degree Sum — Distance Index of the Graph
Vestnik KRAUNC: Fiziko-Matematičeskie NaukiIn this paper, we introduce three novel topological indices for a connected undirected graph G without loops or multiple edges. The indices are based on the sum of neighbor degrees and the distances between vertices, offering an enhancement over ...
Asha, T.V., Chaluvaraju, B.
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Twice Q-Polynomial Distance-Regular Graphs
Journal of Combinatorial Theory, Series B, 1996 Kite numbers are useful parameters of distance-regular graphs. Based on Terwilliger's results, the author obtained a formula, in terms of intersection numbers and dual eigenvalues, for the kite numbers of distance-regular graphs which are Q-polynomial with respect to two distinct eigenvalues. This formula indicates that the kite numbers \(f_{ij}(x,y,z)\
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Advanced Functional Materials, EarlyView.Cuttlebone‐inspired metamaterials exploit a septum‐wall architecture to achieve excellent mechanical and functional properties. This review classifies existing designs into direct biomimetic, honeycomb‐type, and strut‐type architectures, summarizes governing design principles, and presents a decoupled design framework for interpreting multiphysical ...
Xinwei Li, Zhendong Li
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Parallel 3D Bioprinting on SLIPS‐Microarrays
Advanced Functional Materials, EarlyView.This work introduces the first truly parallel 3D bioprinting method, enabling both the simultaneous fabrication of hundreds of cell laden hydrogel 3D structures and their HTS in individual liquid compartments. By integrating Digital Light Processing (DLP) stereolithography with functional micropatterns, the platform decouples printing time from array ...
Julius von Padberg +3 more
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ON \(G\)-VERTEX-TRANSITIVE COVERS OF COMPLETE GRAPHS HAVING AT MOST TWO \(G\)-ORBITS ON THE ARC SET
Ural Mathematical JournalWe investigate abelian (in the sense of Godsil and Hensel) distance-regular covers of complete graphs with the following property: there is a vertex-transitive group of automorphisms of the cover which possesses at most two orbits in the induced action ...
Ludmila Yu. Tsiovkina
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Photon Avalanching Nanoparticles: The Next Generation of Upconverting Nanomaterials?
Advanced Functional Materials, EarlyView.This Perspective outlines the mechanistic foundations that enable photon‐avalanche (PA) behavior in lanthanide nanomaterials and contrasts them with emerging application spaces and forward‐looking design strategies. By bridging threshold engineering, energy‐transfer dynamics, and materials engineering, we provide a coherent roadmap for advancing the ...
Kimoon Lee +7 more
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Distance regularity of compositions of graphs
Applied Mathematics Letters, 2004 The strong sum of graphs \(G_1\) and \(G_2\), \( G_1 \oplus G_2 \), is the graph whose vertex set is the Cartesian product \(V(G_1) \times V(G_2)\), and \((u_1,v_1)\) is adjacent to \((u_2,v_2)\) if \(u_1\) is adjacent to \(u_2\) and \(v_1\) is adjacent to \(v_2\) or if \(u_1\) is adjacent to \(u_2\) and \(v_1 = v_2\).
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Meniscus Pixel Printing for Contact‐Lens Vision Sensing and Robotic Control
Advanced Functional Materials, EarlyView.A visual‐sensing contact lens is enabled by meniscus pixel printing (MPP), which rapidly patterns a 200 µm perovskite photodetector pixel in 1 s without masks, vacuum processing, or bulky equipment. A deep‐learning‐based super‐resolution reconstructs sparse on‐lens signals into 80 × 80 high‐resolution visual information, while AI‐driven eye‐tracking ...
Byung‐Hoon Gong +7 more
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