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Constant Sum Partition of Sets of Integers and Distance Magic Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2018
Let A = {1, 2, . . . , tm+tn}. We shall say that A has the (m, n, t)-balanced constant-sum-partition property ((m, n, t)-BCSP-property) if there exists a partition of A into 2t pairwise disjoint subsets A1, A2, . . . , At, B1, B2, . . .
Cichacz Sylwia, Gőrlich Agnieszka
doaj   +1 more source

SI‐bioATRP in Mesoporous Silica for Size‐Exclusion Driven Local Polymer Placement

open access: yesAdvanced Functional Materials, EarlyView.
An enzyme‐catalyzed surface‐initiated atom transfer radical polymerization (SI‐bioATRP) of an anionic monomer within mesoporous silica particles, using hemoglobin as a catalyst, allows for controlling the location of the formed polymer via size‐exclusion effects between the nanopores and the biomacromolecules, thereby opening routes to functional ...
Oleksandr Wondra   +8 more
wiley   +1 more source

A Modular Bioinstructive Platform Reveals Mechanistic Insights into Additive‐Free, Topography‐Driven Osteogenesis

open access: yesAdvanced Healthcare Materials, EarlyView.
Engineered microparticle topographies direct human mesenchymal stem cell osteogenesis without biochemical additives. This osteogenic commitment is driven by canonical Hedgehog signaling and followed by temporal IGF‐II engagement. Two‐photon polymerization demonstrates spatial control, enabling the engineering of topographical gradients that pattern ...
Fatmah I. Ghuloum   +5 more
wiley   +1 more source

Transmembrane Interactions of Full-length Mammalian Bitopic Cytochrome-P450-Cytochrome-b5 Complex in Lipid Bilayers Revealed by Sensitivity-Enhanced Dynamic Nuclear Polarization Solid-state NMR Spectroscopy

open access: yesScientific Reports, 2017
The dynamic protein-protein and protein-ligand interactions of integral bitopic membrane proteins with a single membrane-spanning helix play a plethora of vital roles in the cellular processes associated with human health and diseases, including ...
Kazutoshi Yamamoto   +4 more
doaj   +1 more source

Distance Magic Graphs - a Survey [PDF]

open access: yes, 2011
Let <i>G = (V;E)</i> be a graph of order n. A bijection <i>f : V &rarr; {1, 2,...,n} </i>is called <i>a distance magic labeling </i>of G if there exists a positive integer k such that <i>&Sigma; f(u) = k &
Arumugam, S. (S)   +2 more
core  

On cordial labeling of hypertrees

open access: yes, 2019
Let $f:V\rightarrow\mathbb{Z}_k$ be a vertex labeling of a hypergraph $H=(V,E)$. This labeling induces an~edge labeling of $H$ defined by $f(e)=\sum_{v\in e}f(v)$, where the sum is taken modulo $k$.
Tuczyński, Michał   +2 more
core   +1 more source

Opportunities of Semiconducting Oxide Nanostructures as Advanced Luminescent Materials in Photonics

open access: yesAdvanced 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   +7 more
wiley   +1 more source

Magic labelings of distance at most 2

open access: yes, 2013
For an arbitrary set of distances $D\subseteq \{0,1, \ldots, d\}$, a graph $G$ is said to be $D$-distance magic if there exists a bijection $f:V\rightarrow \{1,2, \ldots , v\}$ and a constant {\sf k} such that for any vertex $x$, $\sum_{y\in N_D(x)} f(y) ={\sf k}$, where $N_D(x) = \{y \in V| d(x,y) \in D\}$.
Simanjuntak, Rinovia   +4 more
openaire   +2 more sources

Photochromic Cholesteric Liquid Crystals via Arylazopyrazole Functionalization of Hydroxypropyl Cellulose

open access: yesAdvanced Materials, EarlyView.
We produce a new derivative of hydroxypropyl cellulose functionalized with arylazopyrazole side chains and demonstrate its photoswitchable behaviors in dilute and concentrated aqueous solutions, ultimately designing a series of photochromic cholesteric materials that can be photopatterned as write‐erase displays.
Simona G. Fine   +5 more
wiley   +1 more source

Electric‐Current‐Assisted Nucleation of Zero‐Field Hopfion Rings

open access: yesAdvanced Materials, EarlyView.
This work reports a novel and efficient nucleation protocol for 3D localized topological magnetic solitons‐hopfion rings in chiral magnets using pulsed electric currents. By using Lorentz transmission electron microscopy and topological analysis, we report characteristic features and extraordinary stability of hopfion rings in zero or inverted external
Xiaowen Chen   +12 more
wiley   +1 more source

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