Results 61 to 70 of about 3,583,809 (318)
-shaped point set embeddings of high-degree plane graphs
A point set embedding of a given plane graph on a given point set on a plane is a drawing of where each vertex is drawn on a point in . An orthogonal point set embedding of a plane graph is a point set embedding of such that each edge is drawn as a ...
Shaheena Sultana, Md. Saidur Rahman
doaj +1 more source
The consecutively super edge-magic deficiency of graphs and related concepts
A bipartite graph G with partite sets X and Y is called consecutively super edge-magic if there exists a bijective function f : V(G) ⋃ E(G) → {1,2,...,|V(G)| + |E(G)|} with the property that f(X) = {1,2,...,|X|}, f(Y) = {|X|+1, |X|+2,...,|V(G)|} and f(u)+
Rikio Ichishima+2 more
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Homomorphisms of binary Cayley graphs
A binary Cayley graph is a Cayley graph based on a binary group. In 1982, Payan proved that any non-bipartite binary Cayley graph must contain a generalized Mycielski graph of an odd-cycle, implying that such a graph cannot have chromatic number 3.
Beaudou, Laurent+2 more
core +2 more sources
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
The Minimal Perimeter of a Log-Concave Function
Inspired by the equivalence between isoperimetric inequality and Sobolev inequality, we provide a new connection between geometry and analysis. We define the minimal perimeter of a log-concave function and establish a characteristic theorem of this ...
Niufa Fang, Zengle Zhang
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On sub-class sizes of mutually permutable products
In this paper, we investigate the influence of sub-class sizes on a mutually permutable factorized group in which the sub-class sizes of some elements of its factors have certain quantitative properties. Some criteria for a group to be pp-nilpotent or pp-
Li Jinbao, Yang Yong
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Graph properties, graph limits and entropy [PDF]
We study the relation between the growth rate of a graph property and the entropy of the graph limits that arise from graphs with that property. In particular, for hereditary classes we obtain a new description of the colouring number, which by well ...
Hatami, Hamed+2 more
core +1 more source
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
The Determinant of Matching Matrix in the Evaluation of Matching Polynomial
A characterization is given for graphs whose matching polynomial is the determinant of their matching matrices. The matching matrix is then modified and its relation with other graph polynomials is examined.
Shanaz A. Wahid
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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