Results 51 to 60 of about 34,637 (273)

Network divergence analysis identifies adaptive gene modules and two orthogonal vulnerability axes in pancreatic cancer

open access: yesMolecular Oncology, EarlyView.
Tumors contain diverse cellular states whose behavior is shaped by context‐dependent gene coordination. By comparing gene–gene relationships across biological contexts, we identify adaptive transcriptional modules that reorganize into distinct vulnerability axes.
Brian Nelson   +9 more
wiley   +1 more source

On the KG-Sombor index

open access: yesVojnotehnički Glasnik
Introduction/purpose: Degree-based graph invariants are a type of molecular descriptor that represent the connectivity of atoms (vertices) in a molecule through bonds (edges). They are used to model structural properties of molecules and provide valuable
Ochirbat Altangoo   +3 more
doaj   +1 more source

The Lagrangian Density of {123, 234, 456} and the Turán Number of its Extension

open access: yesDiscussiones Mathematicae Graph Theory, 2021
Given a positive integer n and an r-uniform hypergraph F, the Turán number ex(n, F ) is the maximum number of edges in an F -free r-uniform hypergraph on n vertices.
Chen Pingge, Liang Jinhua, Peng Yuejian
doaj   +1 more source

The Clique Density Theorem

open access: yes, 2016
Tur\'{a}n's theorem is a cornerstone of extremal graph theory. It asserts that for any integer $r \geq 2$ every graph on $n$ vertices with more than ${\tfrac{r-2}{2(r-1)}\cdot n^2}$ edges contains a clique of size $r$, i.e., $r$ mutually adjacent ...
Reiher, Christian
core   +1 more source

Analysing the significance of small conformational changes and low occupancy states in serial crystallographic data

open access: yesFEBS Open Bio, EarlyView.
This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill   +4 more
wiley   +1 more source

Breaking Symmetries in Graph Representation [PDF]

open access: yes, 2013
There are many complex combinatorial problems which involve searching for an undirected graph satisfying a certain property. These problems are often highly challenging because of the large number of isomorphic representations of a possible solution.
Codish, M.   +3 more
core  

Relationship Between Neurologic Symptoms and Signs and FMR1 Genotype in Premutation Carriers

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background and Objectives Fragile X‐associated Tremor/Ataxia Syndrome (FXTAS) is the most severe late‐onset condition caused by a premutation in the FMR1 gene, characterized by expanded CGG triplet repeats of 55–200. Clinical presentations of FXTAS, including gait ataxia, kinetic tremor, cognitive decline, and rare Parkinsonism, are linked to ...
Flora Tassone   +8 more
wiley   +1 more source

Edge-Removal and Non-Crossing Configurations in Geometric Graphs [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2010
Graphs and ...
Oswin Aichholzer   +7 more
doaj   +1 more source

On Bond Incident Degree Indices of Chemical Graphs

open access: yesMathematics, 2022
By swapping out atoms for vertices and bonds for edges, a graph may be used to model any molecular structure. A graph G is considered to be a chemical graph in graph theory if no vertex of G has a degree of 5 or greater.
Abeer M. Albalahi   +6 more
doaj   +1 more source

Association Between Symptomatic Knee Osteoarthritis and Target Glycemic Control in Individuals With Type 2 Diabetes

open access: yesArthritis Care &Research, EarlyView.
Objective Knee osteoarthritis (OA) commonly affects individuals with type 2 diabetes (T2DM) and is associated with increased risk of diabetes‐related complications. To better understand potential mechanisms, we examined the association between symptomatic knee OA and glycemic control in individuals with T2DM.
Lauren K. King   +10 more
wiley   +1 more source

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