Results 41 to 50 of about 553 (214)

All Pairs of Pentagons in Leapfrog Fullerenes Are Nice

Mathematics, 2020
A subgraph H of a graph G with perfect matching is nice if G−V(H) has perfect matching. It is well-known that all fullerene graphs have perfect matchings and that all fullerene graphs contain some small connected graphs as nice subgraphs.
Tomislav Došlić
doaj   +1 more source

Artificial Intelligence‐Assisted Workflow for Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling

Advanced Materials, EarlyView.
AI‐Assisted Workflow for (Scanning) Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling. Abstract (Scanning) transmission electron microscopy ((S)TEM) has significantly advanced materials science but faces challenges in correlating precise atomic structure information with the functional properties of ...
Marc Botifoll, Ivan Pinto‐Huguet, Enzo Rotunno, Thomas Galvani, Catalina Coll, Payam Habibzadeh Kavkani, Maria Chiara Spadaro, Yann‐Michel Niquet, Martin Børstad Eriksen, Sara Martí‐Sánchez, Georgios Katsaros, Giordano Scappucci, Peter Krogstrup, Giovanni Isella, Andreu Cabot, Gonzalo Merino, Pablo Ordejón, Stephan Roche, Vincenzo Grillo, Jordi Arbiol   +19 more
wiley   +1 more source

Opportunities of Semiconducting Oxide Nanostructures as Advanced Luminescent Materials in Photonics

Advanced Materials, EarlyView.
The review discusses the challenges of wide and ultrawide bandgap semiconducting oxides as a suitable material platform for photonics. They offer great versatility in terms of tuning microstructure, native defects, doping, anisotropy, and micro‐ and nano‐structuring. The review focuses on their light emission, light‐confinement in optical cavities, and
Ana Cremades, Pedro Hidalgo, David Maestre, Ruth Martínez‐Casado, Emilio Nogales, Beatriz Rodríguez, G. Cristian Vásquez, Bianchi Méndez   +7 more
wiley   +1 more source

More Aspects of Arbitrarily Partitionable Graphs

Discussiones Mathematicae Graph Theory, 2022
A graph G of order n is arbitrarily partitionable (AP) if, for every sequence (n1, . . ., np) partitioning n, there is a partition (V1, . . ., ,Vp) of V (G) such that G[Vi] is a connected ni-graph for i = 1, . . ., p.
Bensmail Julien, Li Binlong
doaj   +1 more source

Thermomechanics of Picoliter Liquids Encapsulated in Metal Microarchitectures

Advanced Materials, EarlyView.
Picoliter‐scale water is encapsulated inside hollow copper microcylinders through a single‐step localized electrodeposition process. Mechanical testing at room and cryogenic temperatures reveals that incompressible liquid and load‐bearing microscale ice enhance the strength and deformation behavior of the composite structure.
Sung‐Gyu Kang, Kyeongjae Jeong, Bárbara Bellón, Lalith Kumar Bhaskar, Leonardo Shoji Aota, Jeongin Paeng, Dipali Sonawane, Kuan Ding, Se‐Ho Kim, Allison Goetz, Benjamin Apeleo Zubiri, Erdmann Spiecker, Ayman El‐Zoka, Baptiste Gault, Gerhard Dehm, Rajaprakash Ramachandramoorthy   +15 more
wiley   +1 more source

Further results on enumeration of perfect matchings of Cartesian product graphs

Open Mathematics
Counting perfect matchings is an interesting and challenging combinatorial task. It has important applications in statistical physics and chemistry. As the general problem is #P-complete, it is usually tackled by randomized heuristics and approximation ...
Wu Tingzeng, Zeng Xiaolin
doaj   +1 more source

Cluster algebras of unpunctured surfaces and snake graphs [PDF]

Discrete Mathematics & Theoretical Computer Science, 2009
We study cluster algebras with principal coefficient systems that are associated to unpunctured surfaces. We give a direct formula for the Laurent polynomial expansion of cluster variables in these cluster algebras in terms of perfect matchings of a ...
Gregg Musiker, Ralf Schiffler
doaj   +1 more source

Self‐Regulating Sodium‐Ion Battery Materials: From Phase Reconstruction to Functional Activation

Advanced Materials, EarlyView.
Self‐regulating sodium‐ion batteries hinge on programmable phase behavior in layered oxides, interphases that renew without growth, and electrolytes that steer solvation and chemistry. This review distills mechanisms into design rules that span composition, site and entropy tuning, and self‐buffering anodes, linking operando evidence to choices and ...
Hong Gao, Dingyi Zhang, Chao Wang, Tianxiao Chen, Xingwang Peng, Yuxiu Xing, Xin Guo, Yufei Zhao, Yong Wang, Guoxiu Wang, Hao Liu   +10 more
wiley   +1 more source

On Variable Sum Exdeg Indices of Quasi-Tree Graphs and Unicyclic Graphs

Discrete Dynamics in Nature and Society, 2020
In this work, by using the properties of the variable sum exdeg indices and analyzing the structure of the quasi-tree graphs and unicyclic graphs, the minimum and maximum variable sum exdeg indices of quasi-tree graphs and quasi-tree graphs with perfect ...
Xiaoling Sun, Jianwei Du
doaj   +1 more source

Interfaces in Large Area 2D Materials Integration: From Epitaxial Growth and Clean Transfer to Interface‐Dominated Performance

Advanced Materials Interfaces, EarlyView.
This Review proposes an interface‐centric framework for large‐area 2D materials integration, linking wafer‐scale single‐crystal epitaxy, clean transfer and deterministic stacking, and interface‐dominated structure–property–device correlations. We summarize how interfacial symmetry and energetics govern nucleation/coalescence and adhesion‐controlled ...
Han Chen, Chen Ji, Yiyang Xu, Huaze Zhu, Wei Kong   +4 more
wiley   +1 more source