Results 131 to 140 of about 8,525 (305)

Partition of Vertex Transitive Graphs

, 2003
设G是k正则连通点可迁图.图G的一个边割S称为限制性边割,如果G-S不含孤立点.最小限制性边割所含的边数λ′称为限制性边连通度.已经证明λ′≤2k-2.等号成立时,称图G是极大限制性边连通的.本文证明了:如果G不是极大限制性边连通的,那么G的顶点集存在一个划分π=(C1,…,Cm),使得由Ch导出的子图同构于一个连通k-1正则点可迁图H,h=1,2,…,m,而且k≤｜H｜≤2k-3.Let G be a connected kregular vertex transitive graph.
欧见平, 张福基
core  

Stable skew partition problem

, 2004
A skew partition is a partition of the vertex set of a graph into four nonempty parts A,B,C,D such that there are all possible edges between A and B, and no edges between C and D.
Klein, Sulamita, Dantas, Simone, Gravier, Sylvain, de Figueiredo, Celina M.H., Reed, Bruce A.   +4 more
core   +1 more source

Shadow‐Calibrated Stereo Vision for Colorimetric Sweat Analysis

Advanced Science, EarlyView.
By establishing a mathematical model that reconstructs 3D structures through geometric features of object shadows under controlled illumination, and combining it with Convolutional Neural Network‐based 2D image analysis for volumetric calibration, this work enables highly accurate 3D morphological reconstruction.
Ting Xiao, Yuwen Yan, Miaorong Lin, Jiahui Chen, Jianxin Meng, Xiang Cui, Peng Zhang, Fengyu Li   +7 more
wiley   +1 more source

Topological Vertex for Symmetric matter

Journal of High Energy Physics
We propose a novel topological vertex formalism for 5d N = 1 $$ \mathcal{N}=1 $$ SU(N) gauge theory with a hypermultiplet in the symmetric tensor representation, whose Type IIB brane construction involves an NS5-brane attached to an O7+-plane.
Sung-Soo Kim, Xiaobin Li, Futoshi Yagi, Rui-Dong Zhu   +3 more
doaj   +1 more source

Janus‐Type Electrostatic Potential Gradient‐Activated Dynamic Zn2+‐Coordinating Nitrogen Sites in Molecularly Locked Nanocellulose Separators for Stable Zinc‐Ion Batteries

Advanced Science, EarlyView.
A multifunctional benzimidazole‐terminated CNF separator is constructed via a PEI‐mediated covalent locking strategy, generating dense zincophilic sites that accelerate Zn2+ transport and desolvation while enabling uniform Zn (002) deposition and suppressing side reactions.
Jie Liang, Shuxin Yang, Shuaiqi Zhao, Haitao Yang, Jingyuan Li, Jiaming Dong, Junwen Duan, Hao Yang, Yue Li, Yaxin Wang, Meilin Li, Ying Liu, Zhitao Shen, Rong Liu, Ruirui Cao, Fumin Li, Minshen Zhu, Yang Huang   +17 more
wiley   +1 more source

Defect Driven Electronic Structure Reconfiguration and Hierarchical Phonon Suppression in Ag2Se Thermoelectrics

Advanced Science, EarlyView.
Indium substitution in Ag2Se nanocrystals simultaneously tailors electronic structure and lattice dynamics. Fermi‐level upshift and band‐gap narrowing enhance electrical transport, while defect‐induced lattice softening intensifies phonon scattering and suppresses lattice thermal conductivity.
Yineng Gou, Mengyao Li, Fang Lyu, Xiaolong Sun, Muyang Huang, Wenhao Xie, Liangwei Hu, Wei Cao, Yue Hou, Yong Liu, Andreu Cabot, Ziyu Wang   +11 more
wiley   +1 more source

Refined Cauchy/Littlewood identities and six-vertex model partition functions: II. Proofs and new conjectures

, 2015
International audienceWe prove two identities of Hall–Littlewood polynomials, which appeared recently in Betea and Wheeler (2014). We also conjecture, and in some cases prove, new identities which relate infinite sums of symmetric polynomials and ...
Betea, D, Zinn-Justin, P., Wheeler, M
core   +1 more source

Topology‐Enriched Toughness Enhancement in Quasi‐Periodic Metastructures Featuring Tailorable Strong‐Weak Network

Advanced Science, EarlyView.
A quasi‐periodic Dart‐Kite (QDK) metastructure with a golden‐ratio‐constrained strong–weak bond network simultaneously enhances strength, toughness, and damage tolerance. Its distributed topology enables predictable, tailorable crack paths for precise fracture control and stable mechanics, demonstrating a high‐performance, controllable architecture ...
Tianyu Gao, Genda Wang, Jiabao Bai, Kai Liu   +3 more
wiley   +1 more source

The Genus Two Partition Function for Free Bosonic and Lattice Vertex Operator Algebras

, 2012
We define the $n$-point function for a vertex operator algebra on a genus two Riemann surface in two separate sewing schemes where either two tori are sewn together or a handle is sewn to one torus.
Tuite, Michael P., Mason, Geoffrey
core  

Aptamer‐Directed Porous DNA Nanocomposite Hydrogel for Active Pulp Preservation: Immunomodulation, Stem Cell Recruitment and Reparative Dentinogenesis

Advanced Science, EarlyView.
This study presents an injectable DNA‐based porous hydrogel integrating catechol motifs and targeting aptamers for pulpitis management. Upon in situ crosslinking, the scaffold actively recruits endogenous dental pulp stem cells, restores redox homeostasis, and modulates immune responses.
Luhui Cai, Huan Yu, Zihan Ni, Kan Chen, I‐Chen Tsai, Zeyu Bao, Shuo Sun, Weichang Li, Yunhua Chen, Qiong Xu   +9 more
wiley   +1 more source