Results 61 to 70 of about 3,583,809 (318)

-shaped point set embeddings of high-degree plane graphs

open access: yesAKCE International Journal of Graphs and Combinatorics, 2020
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

open access: yesElectronic Journal of Graph Theory and Applications, 2020
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
doaj   +1 more source

Homomorphisms of binary Cayley graphs

open access: yes, 2015
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

open access: yesFEBS Letters, EarlyView.
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

open access: yesMathematics, 2020
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
doaj   +1 more source

On sub-class sizes of mutually permutable products

open access: yesOpen Mathematics, 2021
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
doaj   +1 more source

Graph properties, graph limits and entropy [PDF]

open access: yes, 2013
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

Ergothioneine supplementation improves pup phenotype and survival in a murine model of spinal muscular atrophy

open access: yesFEBS Letters, EarlyView.
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

open access: yesRevista de Matemática: Teoría y Aplicaciones, 2011
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
doaj   +1 more source

Single cis‐elements in brassinosteroid‐induced upregulated genes are insufficient to recruit both redox states of the BIL1/BZR1 DNA‐binding domain

open access: yesFEBS Letters, EarlyView.
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

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