Results 51 to 60 of about 408 (250)
On graphs with α- and b-edge consecutive edge magic labelings
Indonesian Journal of Combinatorics, 2022 Among the most studied graph labelings we have the varieties called alpha and edge-magic. Even when their definitions seem completely different, these labelings are related.
Christian Barrientos
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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
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Advanced Science, EarlyView.THUMPD1 drives a tumor‐suppressive signaling cascade in lung adenocarcinoma by promoting IGF2R expression. IGF2R associates with PPP2R1A to suppress AKT and activate AMPK, leading to SLC31A1 upregulation and copper accumulation. Elevated copper disrupts mitochondrial metabolism and induces excessive mitophagy, thereby restraining tumor growth and ...
Kai Wu +10 more
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On the Graceful Cartesian Product of Alpha-Trees
Theory and Applications of Graphs, 2017 A \emph{graceful labeling} of a graph $G$ of size $n$ is an injective assignment of integers from the set $\{0,1,\dots,n\}$ to the vertices of $G$ such that when each edge has assigned a \emph{weight}, given by the absolute value of the difference of the
Christian Barrientos, Sarah Minion
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Edge δ− Graceful Labeling for Some Cyclic-Related Graphs
Advances in Mathematical Physics, 2020 In this paper, we introduce a new type of labeling of a graph G with p vertices and q edges called edge δ− graceful labeling, for any positive integer δ, as a bijective mapping f of the edge set EG into the set δ,2δ,3δ,⋯,qδ such that the induced mapping ...
Mohamed R. Zeen El Deen
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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 +10 more
wiley +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 +6 more
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A note on the number of graceful labellings of paths
Discrete Mathematics, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Robert E. L. Aldred +2 more
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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 +12 more
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Graceful labelling of the union of paths and cycles
Discrete Mathematics, 1999 The authors show that \(C_5\cup P_n\) is graceful and \(C_s\cup P_n\) is graceful for every \(s\geq 5\) when \(n\geq (s+ 5)/2\). This result is another step towards settling the conjecture that \(C_s\cup P_n\) is graceful whenever \(n+ s\geq 7\).
Sheshayya A. Choudum +1 more
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