Results 81 to 90 of about 408 (250)
On $k$-Super Graceful Labeling of Graphs
Let $G=(V(G),E(G))$ be a simple, finite and undirected graph of order $p$ and size $q$. For $k\ge 1$, a bijection $f: V(G)\cup E(G) \to \{k, k+1, k+2, \ldots, k+p+q-1\}$ such that $f(uv)= |f(u) - f(v)|$ for every edge $uv\in E(G)$ is said to be a $k$-super graceful labeling of $G$.
Lau, Gee-Choon +2 more
openaire +3 more sources
This study introduces a biomimetic “nanofusion” platform that integrates the biostability of threose nucleic acids (TNA) with homotypic cell‐membrane cloaking to combat drug‐resistant TNBC. By leveraging a non‐canonical membrane‐fusion pathway for direct cytosolic delivery, the platform bypasses endosomal sequestration. To achieve potent AKT2 silencing
Wei Zheng +7 more
wiley +1 more source
A structural approach to the graceful coloring of a subclass of trees. [PDF]
D L, S DY.
europepmc +1 more source
This study uncovers a metabolic‐epigenetic axis licensing zygotic genome activation (ZGA) in mouse embryos. A developmental decline in NAD+ levels activates PARP7, which mono‐ADP‐ribosylates and stabilizes UHRF1. This modification promotes the establishment of permissive histone acetylation marks, thereby facilitating timely ZGA.
Guangyi Cao +13 more
wiley +1 more source
Edge-Graceful Labelings of Connected Graphs
Abstract Let G be a connected edge-graceful ( p , q ) -graph with q = k p + r , where k is an integer and 0 ≤ r p . In this paper, we prove that every edge-graceful labeling f of G induces [ ( k + 1 ) ! ] r [ k ! ] p − r number of edge-graceful labelings of G.
K. Kayathri, R. Amutha
openaire +1 more source
A pneumatically actuated multi‐tissue microphysiological system is integrated with AI‐based machine vision and automatic sampling and replenishment systems. The platform allows for the emulation of translationally relevant long‐term pharmacokinetic exposure scenarios for multiple weeks while enabling longitudinal monitoring of response biomarkers ...
Jibbe Keulen +15 more
wiley +1 more source
Thiophene is king! The fusion of thiophene rings to cycloalkynes super‐charged their copper‐free click chemistry applications, by (1) enhancing the alkyne reactivity (fastest cyclooctyne to date) and (2) rendering the alkyne fluorogenic (with fluorescence enhancement up to 150‐fold upon reaction), making these bioorthogonal reagents ideal for tracking ...
Jurgen Schulz +7 more
wiley +2 more sources
Graphic Groups, Graph Homomorphisms, and Graphic Group Lattices in Asymmetric Topology Cryptography. [PDF]
Zhao M, Wang H, Yao B.
europepmc +1 more source
On graceful labelings of trees
We prove via a composition lemma, the Kotzig-Ringel-Rosa conjecture, better known as the Graceful Labeling Conjecture. We also prove via a stronger version of the composition lemma a stronger form of the Graceful Labeling Conjecture.
openaire +2 more sources
A nano‐confined radical anion acts as a photothermal immunogenic amplifier. Kinetically stabilized nanoparticles couple high near‐infrared‐II (NIR‐II) photothermal efficacy with glutathione (GSH) depletion to boost reactive oxygen species (ROS) and immunogenic cell death (ICD).
Mengxin Mu +9 more
wiley +1 more source

