Results 51 to 60 of about 184,542 (302)
In the era of gravitational wave (GW) detection from astrophysical sources by LIGO/VIRGO, it is of great importance to take the quantum gravity effect of graviton-photon (GRAPH) mixing in the cosmic magnetic field to the next level. In this work, we study such an effect and derive for the first time perturbative solutions of the linearized equations of
Ejlli, Damian, Thandlam, Venugopal R.
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On Mixed Metric Dimension of Rotationally Symmetric Graphs
A vertex u ∈ V(G) resolves (distinguish or recognize) two elements (vertices or edges) v, w ∈ E(G)UV(G) if dG(u, v) ≠ dG(u, w) . A subset Lm of vertices in a connected graph G is called a mixed metric generator for G if every two ...
Hassan Raza, Jia-Bao Liu, Shaojian Qu
doaj +1 more source
Mixing 3-Colourings in Bipartite Graphs [PDF]
AbstractFor a 3-colourable graph G, the 3-colour graph of G, denoted C3(G), is the graph with node set the proper vertex 3-colourings of G, and two nodes adjacent whenever the corresponding colourings differ on precisely one vertex of G. We consider the following question: given G, how easily can one decide whether or not C3(G) is connected?
Cereceda, Luis +2 more
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A Concise Study of Some Superhypergraph classes [PDF]
In 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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From omics to AI—mapping the pathogenic pathways in type 2 diabetes
Integrating multi‐omics data with AI‐based modelling (unsupervised and supervised machine learning) identify optimal patient clusters, informing AI‐driven accurate risk stratification. Digital twins simulate individual trajectories in real time, guiding precision medicine by matching patients to targeted therapies.
Siobhán O'Sullivan +2 more
wiley +1 more source
$\mathcal{B}$-Partitions, determinant and permanent of graphs [PDF]
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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Spinal muscular atrophy (SMA) is a genetic disease affecting motor neurons. Individuals with SMA experience mitochondrial dysfunction and oxidative stress. The aim of the study was to investigate the effect of an antioxidant and neuroprotective substance, ergothioneine (ERGO), on an SMNΔ7 mouse model of SMA.
Francesca Cadile +8 more
wiley +1 more source
m-step inverse fuzzy mixed competition graphs
The 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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Phytohormone brassinosteroid‐induced gene regulation by the transcription factor BIL1/BZR1 involves redox‐dependent DNA‐binding alternation and interaction with the transcription factor PIF4. The reduced BIL1/BZR1 dimer binds preferred cis‐elements, while oxidation alters its oligomerization state and disrupts DNA‐binding ability.
Shohei Nosaki +4 more
wiley +1 more source
AbstractThe class of intersection graphs of unit intervals of the real line whose ends may be open or closed is a strict superclass of the well-known class of unit interval graphs. We pose a conjecture concerning characterizations of such mixed unit interval graphs, verify parts of it in general, and prove it completely for diamond-free graphs.
Mitre Costa Dourado +4 more
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