Results 41 to 50 of about 292,611 (264)
GCD-graphs and NEPS of complete graphs
A gcd-graph is a Cayley graph over a finite abelian group defined by greatest common divisors. Such graphs are known to have integral spectrum. A non-complete extended p-sum, or NEPS in short, is well-known general graph product. We show that the class of gcd-graphs and the class of NEPS of complete graphs coincide.
Klotz, Walter, Sander, Torsten
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ABSTRACT Introduction Bloodstream infections due to repeated vascular access (VA) puncture and circuit connections remain major concerns in hemodialysis. Therefore, we examined current practices for glove, disinfectant, and personal protective equipment (PPE) use according to VA type in national university hospitals in Japan.
Aiko Yamada +6 more
wiley +1 more source
On multiplicity of quadrilaterals
Let Kn,n be the complete bipartite graph with n vertices in each partition. We denote M(C4,Kn,n) to be the minimum number of monochromatic copies of quadrilaterals in any 2-edge coloring of Kn,n.
S.S. Rukmani, V. Vijayalakshmi
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Packing Trees in Complete Bipartite Graphs
An embedding of a graph H in a graph G is an injection (i.e., a one-to-one function) σ from the vertices of H to the vertices of G such that σ(x)σ(y) is an edge of G for all edges xy of H. The image of H in G under σ is denoted by σ(H).
Wang Jieyan
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We identified a systemic, progressive loss of protein S‐glutathionylation—detected by nonreducing western blotting—alongside dysregulation of glutathione‐cycle enzymes in both neuronal and peripheral tissues of Taiwanese SMA mice. These alterations were partially rescued by SMN antisense oligonucleotide therapy, revealing persistent redox imbalance as ...
Sofia Vrettou, Brunhilde Wirth
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Tau acetylation at K331 has limited impact on tau pathology in vivo
We mapped tau post‐translational modifications in humanized MAPT knock‐in mice and in amyloid‐bearing double knock‐in mice. Acetylation within the repeat domain, particularly around K331, showed modest increases under amyloid pathology. To test functional relevance, we generated MAPTK331Q knock‐in mice.
Shoko Hashimoto +3 more
wiley +1 more source
Hyperosmotic stress induces PARP1‐mediated HPF1‐dependent mono(ADP‐ribosyl)ation
Sorbitol‐induced hyperosmotic stress rapidly induces reversible mono(ADP‐ribosyl)ation (MARylation) on PARP1 without the signs of genotoxic signaling. We show that PARP1 autoMARylation is HPF1 dependent and forms hydroxylamine‐resistant O‐glycosidic linkages.
Anna Georgina Kopasz +11 more
wiley +1 more source
Graph Isomorphism Completeness for Trapezoid Graphs
4 pages, 3 Postscript ...
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Horizontal gene transfer is an important contributor to evolution. According to Walter M.\ Fitch, two genes are xenologs if they are separated by at least one HGT. More formally, the directed Fitch graph has a set of genes is its vertices, and directed edges $(x,y)$ for all pairs of genes $x$ and $y$ for which $y$ has been horizontally transferred at ...
Marc Hellmuth +2 more
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The Coloring Graph of Complete Graphs
We study the coloring graph of the family of complete graphs and we prove that Cn(Kt) is regular, transitive, and connected when n>t. Also, we study whether Cn(Kt) is distance transitive or strongly regular, and find its diameter.
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