Results 101 to 110 of about 23,182 (295)
Column planarity and partially-simultaneous geometric embedding
We introduce the notion of column planarity of a subset $R$ of the vertices of a graph $G$. Informally, we say that $R$ is column planar in $G$ if we can assign $x$-coordinates to the vertices in $R$ such that any assignment of $y$-coordinates to ...
Luis Barba +5 more
doaj +1 more source
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
Advances in Sustainable and Wearable Textile Based Soft Robotics
This Review examines advances in wearable textile‐based soft robotics, focusing on sustainable materials, integrated sensing, and scalable actuation. It discusses manufacturing and system integration across healthcare, assistive robotics, prosthetics, and human–machine interfaces, and highlights key challenges in circular design, including life‐cycle ...
Zahir Abbas +6 more
wiley +1 more source
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
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
Biodegradable and Biocompatible Functional Polymers for Biomedical Applications
Biodegradable and biocompatible functional polymers integrate electrical, mechanical, and stimuli‐responsive functionalities while enabling programmed degradation under physiological conditions. This review introduces recent advances in conductive, shape‐memory, self‐healing, photocurable, and adhesive polymer systems, emphasizing material design ...
Won Bae Han +5 more
wiley +1 more source
Efficient C-Planarity Testing for Embedded Flat Clustered Graphs with Small Faces
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
A new class of photoresponsive liquid‐crystalline (LC) adhesives based on biomineral‐inspired organic/inorganic colloidal hybrids is reported. These colloidal LC materials are formed by hybridization of a hydroxyapatite nanorod with azobenzene‐based forklike molecules.
Junya Uchida +4 more
wiley +1 more source
A systematic review is conducted to assess the influence of electrode architecture across micro‐ to mesoscopic length scales on electron‐transfer pathways in electrocatalysis. We discuss the structure‐activity relationships in electrocatalytic applications, including resource recovery and environmental remediation, and provide cost‐effective, efficient
Manshu Zhao +6 more
wiley +1 more source
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

