Results 91 to 100 of about 219,967 (286)

ON k-GRACEFUL LABELING OF SOME GRAPHS

Journal of applied mathematics & informatics, 2016
Summary: In this paper, it has been shown that the hairy cycle \(C_{n}\odot rK_{1},\) \(n\equiv 3\pmod 4\), the graph obtained by adding pendant edge to each pendant vertex of hairy cycle \(C_{n}\odot 1K_{1}\), \(n\equiv 0\pmod 4\), double graph of path \(P_{n}\) and double graph of comb \(P_{n}\odot 1K_{1}\) are \(k\)-graceful.
Pradhan, P., Kumar, Kamesh
openaire   +3 more sources

Engineered Transformer Base Editor with Enhanced Editing Efficiency

Advanced Science, EarlyView.
A highly efficient transformer base editor system achieves robust genomic editing in a humanized mouse model. This work establishes a versatile and translatable platform, opening new avenues for precision gene therapy. ABSTRACT Canonical cytosine base editors (CBEs) achieve precise C‐to‐T conversions without inducing DNA double‐strand breaks (DSBs ...
Bowen Chen, Letong Liang, Rui Xu, Tianyi Wang, Hongyan Chen, Daru Lu   +5 more
wiley   +1 more source

Edge odd graceful labeling of some path and cycle related graphs

AKCE International Journal of Graphs and Combinatorics, 2017
Solairaju and Chithra introduced a new type of labeling of a graph with vertices and edges called an edge odd graceful labeling if there is a bijection from the edges of the graph to the set such that, when each vertex is assigned the sum of all edges ...
S.N. Daoud
doaj   +1 more source

Folding trees gracefully

AKCE International Journal of Graphs and Combinatorics, 2020
When a graceful labeling of a bipartite graph assigns the smaller labels to the vertices of one of the stable sets of the graph, the assignment is called an α-labeling. Any graph that admits such a labeling is an α-graph.
Christian Barrientos, Sarah Minion
doaj   +1 more source

Graceful Labeling of Balanced Stars of Paths

Electronic Notes in Discrete Mathematics, 2003
Abstract If the vertices of a tree on n vertices are labeled by the distinct numbers l,2,…, n , in such a way that the set of edge-differences (i.e., the differences between the labels on adjacent pairs of vertices) is exactly {1, 2,…, n − 1}, then such a labeling is called a graceful labeling. The graceful tree conjecture of Ringel and Kotzig
R. Badrinath, Pratima Panigrahi
openaire   +1 more source

ERα–PADI4–CXCL8 Axis Drives MDSC‐Mediated Immune Evasion in Anaplastic Thyroid Carcinoma

Advanced Science, EarlyView.
MAPK‐driven ligand‐independent ERα activation drives PADI4 transcription and translation. This enzyme then modifies CXCL8 chemokines through citrullination, generating a potent chemoattractant gradient specifically for myeloid‐derived suppressor cells.
Dongdong Zhang, Ying Cai, Junbin Zhang, Jianyong Zhang, Ran Jing, Ming Cai   +5 more
wiley   +1 more source

A Mild Disilane‐Enabled Halide‐to‐Deuterium Manifold With D2O for Aryl and Benzylic Halides

Angewandte Chemie, EarlyView.
A broadly applicable Pd‐catalyzed dehalogenative deuteration enables efficient conversion of aryl and benzylic halides with inexpensive deuterium oxide (D2O). The method proceeds under exceptionally mild conditions without strong bases, harsh reductants, or stoichiometric Lewis acid halide scavengers, and tolerates a wide range of functional groups ...
Wenliang Wang, Ryan Parlett, Liam Hornstein, Landon Conklin, Qi Tang, Xiaodong Shi   +5 more
wiley   +2 more sources

Graceful Labelings of Pendant Graphs [PDF]

, 2017
In 1967, Alexander Rosa introduced a new type of graph labeling called a graceful labeling. This paper will provide some background on graceful labelings and their relation to certain types of graphs called pendant graphs.
Graf, Alessandra
core   +1 more source

Transfer RNA‐Derived Small RNA‐5’tiRNAGln Drives HNRNPC Phase Separation to Promote Breast Cancer Bone Metastasis by Regulating IGF1R

Advanced Science, EarlyView.
This study reveals that 5'tiRNA‐Gln interacts with hnRNPC to promote IGF1R liquid‐liquid phase separation, which drives ERK1/2 signaling activation, EMT, and breast cancer bone metastasis. These findings highlight a novel mechanism of breast cancer bone metastasis and potential therapeutic target in metastatic breast cancer.
Bingnan Wang, Dongsong Liu, Xiaozhi Fan, Jiale Fan, Xuesi liu, Yu Wang, Zixin Wang, Mo Cheng, Ping Zhou, Wangjun Yan   +9 more
wiley   +1 more source

One‐Pot Biphasic Photocatalytic CO2‐to‐Carbonylation Cascades

Angewandte Chemie, EarlyView.
Bioinspired biphasic compartmentalization enables one‐pot cascades where photocatalytic CO2 reduction generates CO for carbonylative cross‐couplings to synthesize complex organic products, including a pharmaceutical. ABSTRACT Photosynthesis compartmentalizes reactions across the thylakoid membrane in vivo to upcycle CO2 into complex chemicals that are ...
Sampurna Mitra, David M. Vahey, Shannon A. Bonke, Erwin Reisner   +3 more
wiley   +2 more sources