Results 41 to 50 of about 307 (247)

Triangular embeddings of complete graphs from graceful labellings of paths [PDF]

, 2006
We show that to each graceful labelling of a path on 2s + 1 vertices, s ≥ 2, there corresponds a current assignment on a 3-valent graph which generates at least 2 2s cyclic oriented triangular embeddings of a complete graph on 12s + 7 vertices.
Richter, R. Bruce, Širáň, Jozef, Luis Goddyn, Jozef Siráň, Goddyn, Luis, R. Bruce Richter   +5 more
core   +1 more source

Graceful Labeling of Posets

Annals of Mathematics and Physics
Abstract The concept of graph labeling was introduced in the mid-1960s by Rosa. In this paper, we introduce a notion of graceful labeling of a finite poset. We obtain graceful labeling of some postes such as a chain, a fence, and a crown. In 2002 Thakare, Pawar, and Waphare introduced the `adjunct' operation of two lattices with respect to an adjunct ...
Ashok Bhavale, Dr. DEEPAK SHELKE*
openaire   +2 more sources

TSPYL5 Promotes Triple‐Negative Breast Cancer Metastasis by Antagonizing USP10‐Mediated PTEN Stabilization to Unleash a ZEB1‐Dependent EMT Program

Advanced Science, EarlyView.
The hyperactivation of PI3K/AKT signaling in PTEN wild‐type triple‐negative breast cancer represents a clinical paradox. We delineate a novel post‐translational regulatory axis wherein the oncogene TSPYL5 competitively antagonizes the deubiquitinase USP10.
Jiaying Shi, Ming Yi, Shengyu Xie, Zhaokun Wang, Xinyue Zhang, Yangwei Zhang, Rui Tang, Yuan Yang, Yunqiang Liu   +8 more
wiley   +1 more source

Fibonacci and super-Fibonacci graceful labelings of certain types of graphs [PDF]

, 2011
Розглянуто базові теоретичні відомості щодо Фібоначчі-граціозних графів. Під Фібоначчі-граціозною розміткою графа G=(V,E) розміру q розуміють ін’єктивну функцію f:V→{0,1,2,3,4,…,Fq} яка індукує бієктивну функцію f*:E→{F1, F2,F3,…,Fq} де F1=1, F2=1, F3=2,
Семенюта, М.Ф.
core   +1 more source

Graceful and Odd Graceful Labeling of Some Graphs

International Journal of Mathematics and Soft Computing, 2013
In this paper, we prove that the square graph of bistar Bn,n, the splitting graph of Bn,n and the splitting graph of star K1,n are graceful graphs. We also prove that the splitting graph and the shadow graph of bistar Bn,n admit odd graceful labeling.
N. H. Shah, S. K. Vaidya
openaire   +1 more source

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

Graceful signed graphs [PDF]

, 2004
summary:A $(p,q)$-sigraph $S$ is an ordered pair $(G,s)$ where $G = (V,E)$ is a $(p,q)$-graph and $s$ is a function which assigns to each edge of $G$ a positive or a negative sign.
Singh, Tarkeshwar, Acharya, Mukti
core   +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

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

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