Results 171 to 180 of about 339,926 (334)
Non-separating Planar Graphs [PDF]
A graph $G$ is a non-separating planar graph if there is a drawing $D$ of $G$ on the plane such that (1) no two edges cross each other in $D$ and (2) for any cycle $C$ in $D$, any two vertices not in $C$ are on the same side of $C$ in $D$. Non-separating planar graphs are closed under taking minors and are a subclass of planar graphs and a superclass
arxiv
A hybrid‐nested microneedle/cryogel scaffold (MQW‐CMg‐MOF) is designed for efficient biofilm removal and accelerated healing of diabetic wounds. The scaffold shows substantial biofilm removal in vitro and in a preclinical diabetic swine biofilm‐infected wound model compared to the control.
Syed Muntazir Andrabi+11 more
wiley +1 more source
A laser‐driven strategy enables precise microstructural modulation of Mo₂C, achieving nanoscale grain control (15.6 ± 5 nm) and an ultrahigh grain boundary density (130 µm−1). Moreover, high‐angle grain boundaries enhance active sites, facilitate electron transport, and optimize hydrogen adsorption kinetics, significantly reducing overpotential.
Seok‐Ki Hyeong+13 more
wiley +1 more source
AbstractA graph G = G(V, E) with lists L(v), associated with its vertices v ∈ V, is called L-list colourable if there is a proper vertex colouring of G in which the colour assigned to a vertex v is chosen from L(v). We say G is k-choosable if there is at least one L-list colouring for every possible list assignment L with ∥L(v)∥ = k ∀v ∈ V(G).Now, let ...
openaire +2 more sources
Eulerian-minors and a concise recursive characterization of 4-regular planar graphs [PDF]
An Eulerian-minor of an Eulerian graph is obtained from an Eulerian subgraph of the Eulerian graph by contraction. The Eulerian-minor operation preserves Eulerian properties of graphs and moreover Eulerian graphs are well-quasi-ordered under Eulerian-minor relation.
arxiv
Scaling‐Up of Structural Superlubricity: Challenges and Opportunities
At increasing length‐scales, structural superlubricity (SSL) faces challenges from physical and chemical energy dissipation pathways. This study reviews recent experimental and theoretical progress on these challenges facing the scaling‐up of SSL, as well as perspectives on future directions for realizing and manipulating macroscale superlubricity ...
Penghua Ying+4 more
wiley +1 more source
AbstractAn F-planar graph, where F is an ordered field, is a graph that can be represented in the plane F × F, with non-crossing line segments as edges. It is shown that the graph G is F-planar for some F if and only if every finite subgraph of G is planar.
openaire +2 more sources
A multifunctional hydroxyapatite (HAp) coating integrated with silver‐gallium liquid metal nanoparticles (HAp‐Ag‐GaNPs) exhibits dual antibacterial and osteogenic properties. It effectively inhibits Gram‐positive and Gram‐negative bacteria, including resistant strains, while enhancing bone regeneration.
Ngoc Huu Nguyen+17 more
wiley +1 more source
The conduction band (CB) edge and surface state energy level of TiO2 nanoparticles shift downward with increasing Li+ concentration, which facilitates the charge‐transfer interaction between the molecules and the surface enhanced Raman scattering substrates. Abstract While the Lithium ion modification strategy is widely adopted in tuning the bandgap of
Lin Zhu+4 more
wiley +1 more source
A lack of standard approaches for testing and reporting the performance of metal halide perovskites and organic semiconductor radiation detectors has resulted in inconsistent interpretation of performance parameters, impeding progress in the field. This Perspective recommends key metrics and experimental details, which are suggested for reporting in ...
Jessie A. Posar+8 more
wiley +1 more source