Results 91 to 100 of about 23,983 (294)
Ranking and Unranking of the Planar Embeddings of a Planar Graph
Let $\mathcal{G}$ be the set of all the planar embeddings of a (not necessarily connected) $n$-vertex graph $G$. We present a bijection $Φ$ from $\mathcal{G}$ to the natural numbers in the interval $[0 \dots |\mathcal{G}| - 1]$. Given a planar embedding $\mathcal{E}$ of $G$, we show that $Φ(\mathcal{E})$ can be decomposed into a sequence of $O(n ...
Giuseppe Di Battista +3 more
openaire +3 more sources
On planarity and similarity restraints
, 2001 Planarity and similarity restraints are described using a unified framework for the computation layout. In both cases, the gradient and Hessian of the restraint residual with respect to atomic coordinates are derived.
Blanc, E., Paciorek, W.
core +1 more source
Advanced Functional Materials, EarlyView.A Li2O‐rich solid electrolyte interphase (SEI) is engineered on graphite through a propylene carbonate‐based electrolyte to spatially regulate Li plating. The homogeneous interphase lowers Li nucleation barriers, promotes conformal Li deposition around graphite particles, and suppresses dendritic accumulation, enabling durable hybrid Li‐ion/Li‐metal ...
Robert Kuphal +8 more
wiley +1 more source
, 2004 Planarity is an important concept in graph drawing. It is generally accepted that planar drawings are well understandable. Recently, several variations of planarity have been studied for advanced graph concepts such as k-level graphs and clustered graphs.
Michael Forster, Christian Bachmaier
core +1 more source
A Tipping Point for the Planarity of Small and Medium Sized Graphs
, 2020 This paper presents an empirical study of the relationship between the density of small-medium sized random graphs and their planarity. It is well known that, when the number of vertices tends to infinite, there is a sharp transition between planarity ...
Patrignani, Maurizio +5 more
core +1 more source
Advanced Functional Materials, EarlyView.A dynamically actuated reconfigurable topographical surface (DARTS) integrates contact‐mediated bactericidal nanotopography with programmable mechanical actuation to actively disrupt bacterial biofilms. Dynamic surface reconfiguration enhances bacterial killing and suppresses implant‐associated infections in vivo, providing a new strategy for active ...
Mohammad Asadi Tokmedash +4 more
wiley +1 more source
Efficient C-Planarity Testing for Embedded Flat Clustered Graphs with Small Faces
Journal of Graph Algorithms and Applications, 2009 Let C be a clustered graph and suppose that the planar embedding of its underlying graph is fixed. Is testing the c-planarity of C easier than in the variable embedding setting?
Giuseppe Di Battista, Fabrizio Frati
doaj +1 more source
Bone‐Inspired Recyclable Composites for Damage‐Tolerant Circular Materials
Advanced Functional Materials, EarlyView.Bone‐inspired architected composites are developed by combining osteon‐like reinforcements with a recyclable Elium thermoplastic matrix. The hierarchical architecture redirects cracks and promotes energy dissipation, while enabling recovery of intact, aligned, load‐bearing reinforcement units that retain their original stiffness, revealing a route ...
Alessandro Stagni +4 more
wiley +1 more source
Preferential Interfacial Engineering of Hydrogels via Interdigitated Nanoparticle Assembly
Advanced Functional Materials, EarlyView.Robust surface functionalization of hydrogel surfaces is performed via interdigitated metal nanoparticle assembly, inducing strong affinity with the hydrogel matrix. The partially exposed nanoparticle domains act as interfacial nanobridges that mediate both chemical and physical bonding with diverse materials, including small molecules, fluorous ...
Hyeonjin Kim +11 more
wiley +1 more source
Advanced Functional Materials, EarlyView.A hybrid additive manufacturing platform integrates direct droplet writing of metallic composite with VAT photopolymerization to fabricate architected soft magnetic composites. This approach enables microscale patterning of high‐viscosity materials for programmable actuators, adaptive fluidic devices, and switchable adhesives, offering tunable ...
Yeowon Yoon +4 more
wiley +1 more source