Results 41 to 50 of about 197,109 (260)
Coloring Mixed and Directional Interval Graphs
, 2023 A mixed graph has a set of vertices, a set of undirected egdes, and a set of directed arcs. A proper coloring of a mixed graph $G$ is a function $c$ that assigns to each vertex in $G$ a positive integer such that, for each edge $uv$ in $G$, $c(u) \ne c(v)$ and, for each arc $uv$ in $G$, $c(u) < c(v)$. For a mixed graph $G$, the chromatic number $χ(G)
Grzegorz Gutowski +5 more
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Ratio Mathematica, 2022 A new form of picture fuzzy graph has been identified and introduced here as Mixed Picture Fuzzy Graph(MPFG). The picture fuzzy set is made up of the fuzzy set and the intuitionistic fuzzy set. It is helpful when there are multiple options, such as yes, no, rejection and abstain.
Myithili, K.K., Nandhini, Chandrasekar
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A Concise Study of Some Superhypergraph classes [PDF]
Neutrosophic Sets and SystemsIn graph theory, the hypergraph extends the traditional graph structure by allowing edges to connect multiple vertices, and this concept is further broadened by the superhypergraph.
Florentin Smarandache, Takaaki Fujita
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$\mathcal{B}$-Partitions, determinant and permanent of graphs [PDF]
Transactions on Combinatorics, 2018 Let $G$ be a graph (directed or undirected) having $k$ number of blocks $B_1, B_2,\hdots,B_k$. A $\mathcal{B}$-partition of $G$ is a partition consists of $k$ vertex-disjoint subgraph $(\hat{B_1},\hat{B_1},\hdots,\hat{B_k})$ such that $\hat{B}_i$ is an ...
Ranveer Singh, Ravindra Bapat
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Integral Mixed Unit Interval Graphs
Discrete Applied Mathematics, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Le, Van Bang, Rautenbach, Dieter
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FEBS Letters, EarlyView.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
wiley +1 more source
FEBS Letters, EarlyView.In this study, we found that human cervical‐derived adipocytes maintain intracellular iron level by regulating the expression of iron transport‐related proteins during adrenergic stimulation. Melanotransferrin is predicted to interact with transferrin receptor 1 based on in silico analysis.
Rahaf Alrifai +9 more
wiley +1 more source
m-step inverse fuzzy mixed competition graphs
International Journal of Mathematics for IndustryThe notion of competition graphs has a wide range of applications and has been utilized in designing various ecological problems and real-world competitions.
Rahul Mondal, Ganesh Ghorai
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Uniform Mixing on Cayley Graphs
The Electronic Journal of Combinatorics, 2017 We provide new examples of Cayley graphs on which the quantum walks reach uniform mixing. Our first result is a complete characterization of all $2(d+2)$-regular Cayley graphs over $\mathbb{Z}_3^d$ that admit uniform mixing at time $2\pi/9$. Our second result shows that for every integer $k\ge 3$, we can construct Cayley graphs over $\mathbb{Z}_q^d ...
Godsil, Chris, Zhan, Hanmeng
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Tau acetylation at K331 has limited impact on tau pathology in vivo
FEBS Letters, EarlyView.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