Results 161 to 170 of about 892,813 (298)
Maximal Planar Graph Theory and the Four-Color Conjecture
This open access book integrates foundational principles with advanced methodologies concerning maximal planar graphs. It offers readers an exceptional examination of graph structures, chromatic polynomials, and the construction and proof techniques of ...
Xu, Jin
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Advanced Materials, EarlyView.We mechanically program liquid crystal elastomer coatings as a stimuli‐responsive and digitally addressable platform for refreshable tactile displays; we validate the perceptual performance of our dynamic device matches conventional static tactile media.
Tom Bruining +9 more
wiley +1 more source
Advanced Materials, EarlyView.Micro‐topographical cues applied through temporally controlled microscale confinement improve the reproducibility, spatial organization, and neurosensory‐associated features of pluripotent stem cell‐derived inner ear organoids. Integration with a vascularized organoid platform further enables controlled investigation of vascular‐epithelial interactions
Harshita Sharma +15 more
wiley +1 more source
Polyphenol‐Inspired Materials for Agricultural Applications
Advanced Materials, EarlyView.This review outlines the use of polyphenol‐inspired materials for sustainable agriculture, highlighting their molecular design, interfacial assembly, structure–property relationships, and prospects toward precision agriculture, climate resilience, ecosystem protection, and circular bioeconomy strategies.
Haofu Liu +8 more
wiley +1 more source
Advanced Materials, EarlyView.We present elastomeric three‐dimensional (3D) microstructures fabricated via two‐photon polymerization (2PP) and post‐processed through wet etching, for quantifying nanonewton (nN)‐scale forces applied by healthy and diseased neural cells. The mechanically characterized free‐standing beam architectures enable measurement of traction forces of ...
Pieter F. J. van Altena +7 more
wiley +1 more source
Advanced Materials, EarlyView.Inorganic compound‐modified separators transform lithium–sulfur batteries from passive polysulfide confinement to active reaction‐pathway regulation. A Practical Relevance Index (PRI)‐guided framework bridges interfacial chemistry of inorganic separators with practical constraints, establishing unified design principles for scalable, high‐energy ...
Yuting Qin +7 more
wiley +1 more source
Ion Concentration and Voltage Imaging With Fluorescent Nanodiamonds
Advanced Materials, EarlyView.We demonstrate reversible switching between the fluorescent NV0 and the dark NV+ state, in sub‐30 nm FNDs via surface oxidation and hydrogenation, respectively. In an electrochemical cell, we show that the fluorescence from hydrogenated particles enables all‐optical imaging of voltages and ion concentrations at the micrometer scale.
Patrick Voorhoeve +8 more
wiley +1 more source
Bifunctional Catalysis Drives Efficient and Ethanol‐Producing Aqueous Zn‐CO2 Batteries
Advanced Materials, EarlyView.A unified bifunctional catalyst breaks the trade‐off between CO2 reduction and O2 evolution, delivering high efficiency, ethanol production, and long‐term stability in Zn‐CO2 batteries while revealing degradation pathways for next‐generation bifunctional electrocatalysts.
Divyani Gupta +9 more
wiley +1 more source
A proof of the four-colour theorem
, 2013 The four-colour problem remained unsolved for more than a hundred years has played a role of the utmost importance in the development of graph theory. The four-colour theorem was confirmed in 1976, which is not completely satisfied due to: i) part of the
Xing, Jing Tang
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Maximal outerplanar graphs as chordal graphs, path-neighborhood graphs, and triangle graphs [PDF]
Maximal outerplanar graphs are characterized using three different classes of graphs. A path-neighborhood graph is a connected graph in which every neighborhood induces a path. The triangle graph $T(G)$ has the triangles of the graph $G$ as its vertices,
Novick, B., Laskar, R.C., Mulder, H.M.
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