Results 61 to 70 of about 29,676 (268)

Graceful Labeling on Grids in 3-Dimensions and 4-Dimensions [PDF]

, 2007
優美標號(Graceful labeling)最早是由Rosa在1966年提出。一個graph G上的端點標號(vertex labeling)所指的是一個vertex的函數f對應到一些數值(即標號)，而G上的每一edge xy 被指定一個由f(x)和f(y)所決定的數值。如果這樣的一個f:V-->{0,1,...|E|}是單射，且指定 edge xy 的數值為|f(x)-f(y)|而所有的edge都被指定不同的數值，則f被稱為一個優美標號。 Rosa提出假說猜測所有的tree都有優美標號 ...
Chen, Yi-xian, 陳奕先
core  

β‐Elemene Rescues Radiation‐Induced Enteritis by Orchestrating a Host‐Microbiome Circuit That Fuels Epigenetic DNA Repair

Advanced Science, EarlyView.
This study elucidates that β‐elemene promotes cellular uptake of L. gasseri‐derived lactate by enhancing the membrane translocation of MCT1 in a CD147‐dependent manner. Intracellular lactate, through the lactylation of RBBP4 at the K26 site, recruits EP300 to the promoter regions of downstream genes (POLD1/POLD3), catalyzing H3K27ac modification.
Jiancheng He, Jiapeng Bao, Shukang Deng, Weijie Zang, Haoming Yan, Zihao Zhao, Guangze Zhang, Ruiqing Liu, Junjie Chen, Yilin Hu, Wanjiang Xue   +10 more
wiley   +1 more source

On the beta-number of linear forests with an even number of components

AKCE International Journal of Graphs and Combinatorics, 2018
The beta-number of a graph G is the smallest positive integer n for which there exists an injective function f : V G → 0 , 1 , … , n such that each u v ∈ E G is labeled | f u − f v | and the resulting set of edge labels is c , c + 1 , …
Rikio Ichishima, Akito Oshima
doaj   +1 more source

Smart Nanotechnologies for Multimodal Neuromodulation and Brain Interfacing

Advanced Science, EarlyView.
Recent advances in smart nanotechnologies are expanding the toolbox for brain interfacing, from wireless neuromodulation and high‐resolution sensing to targeted delivery within the central nervous system. By combining responsive nanomaterials with bioinspired design, these platforms enable multimodal interactions with neurons and glia, while also ...
Tommaso Curiale, Marie Celine Lefevre, Alessio Carmignani, Maria Cristina Ceccarelli, Matteo Battaglini, Attilio Marino, Gianni Ciofani   +6 more
wiley   +1 more source

Graceful Labeling of some Join Graphs and the Subdivision of Complete Bipartite Graphs

Journal of Applied Mathematics
The join of graphs G and H, denoted by G + H, is the graph obtained from the disjoint union of G and H by joining each vertex in G to each vertex in H. An edge uw is said to be subdivided if uw is replaced by the path P : uvw, where v is the new vertex ...
A. Panpa, P. Chaiprasert, C. Tisklang
semanticscholar   +1 more source

A Triple‐Nanoparticle System for Controlled Graphene Nanosheet Stacking: Enabling K/Na‐Ion Battery Anodes with Ultra‐Fast Charging Exceeding Petroleum Vehicle Refueling

Advanced Science, EarlyView.
ABSTRACT Large‐ion (K, Na) battery systems mitigate uneven global lithium distribution, while their ability to attain recharge time shorter than refueling would remove the final barrier for secondary batteries to replace petroleum vehicles. However, their large‐ion chemistry makes ultra‐fast charging an even significant challenge.
Shukai Ding, Le Zhang, Hang Li, Yang Zhang, Guoquan Suo, Bin Han, Dongfeng Sun, Wenqi Zhao, Gaohui Du, Qingmei Su, Bingshe Xu, Zhen Xu, Wei Wang   +12 more
wiley   +1 more source

ODD GRACEFUL LABELING FOR SWASTIK GRAPH

International Journal of Applied Mathematics
In this paper, we present an odd graceful labeling for the Swastik graph Swn. A sys-tematic labeling scheme is developed using alternating parity assignments on the vertex set, ensuring that all induced edge labels are distinct odd integers. Further, the
K. N. Gotecha
semanticscholar   +1 more source

A Worm‐Inspired Origami Robot with Multimodal Locomotion for Adaptive Mobility in Complex Pipeline Environments

Advanced Science, EarlyView.
An origami worm‐inspired robot achieves multimodal locomotion in confined pipelines through mechatronic integration that embeds actuation, control, and communication within each origami module. Large, reversible configuration and dimensional changes enable 25 gaits synthesized by a unified framework across peristaltic, inchworm, and wheel‐rolling modes
Qiwei Zhang, Kangning Tan, Zihan He, Hongsen Pang, Yanjie Wang, Hongbin Fang, Jian Xu   +6 more
wiley   +1 more source

PlantGFM: A Genomic Foundation Model for Discovery and Creation of Plant Genes

Advanced Science, EarlyView.
A plant genomic foundation model pre‐trained on 12 species enables both accurate gene prediction and de novo gene design. Through AI‐human knowledge screening, seven designed sequences showed transcriptional activity in plants, with two expressing stable proteins—demonstrating the first DNA‐RNA‐protein expression of LLM‐generated genes in plants and ...
Changhao Li, Qizhe Zhang, Hanchen Chen, Kepeng Lin, Chengfang Luo, Mengying Yang, Wei Xu, Fan Yao, Jianbing Yan, Qing‐Yong Yang, Xuehai Hu   +10 more
wiley   +1 more source

EXPLORATION OF DECAGONAL GRACEFUL LABELING IN PATH GRAPHS WITH MUSICAL APPLICATIONS

International Journal of Applied Mathematics
This study introduces a novel labeling technique called decagonal graceful labeling. Assume graph  is simple and finite, that has  edges and  vertices.
R. Senthamizh, Selvi 𝟏†, J. S. 𝟐†, N. Sujatha   +3 more
semanticscholar   +1 more source