Results 41 to 50 of about 18,692 (262)
On the Vertex-Degree Based Invariants of Digraphs
Let $D=(V,A)$ be a digraphs without isolated vertices. A vertex-degree based invariant $I(D)$ related to a real function $φ$ of $D$ is defined as a summation over all arcs, $I(D) = \frac{1}{2}\sum_{uv\in A}{φ(d_u^+,d_v^-)}$, where $d_u^+$ (resp. $d_u^-$) denotes the out-degree (resp. in-degree) of a vertex $u$.
Hanyuan Deng +4 more
openaire +4 more sources
Mouse pre‐implantation development involves a transition from totipotency to pluripotency. Integrating transcriptomics, epigenetic profiling, low‐input proteomics and functional assays, we show that eight‐cell embryos retain residual totipotency features, whereas cytoskeletal remodeling regulated by the ubiquitin‐proteasome system drives progression ...
Wanqiong Li +8 more
wiley +1 more source
A topological index is a real number calculated from the structure of a chemical compound to describe its topology. The use of molecular descriptors has been increasing in recent years, helping to determine the physicochemical and biological properties ...
Muhammad Waheed Rasheed +2 more
doaj +1 more source
PREFERENTIAL ATTACHMENT WITH FITNESS DEPENDENT CHOICE
We study the asymptotic behavior of the maximum degree in the preferential attachment tree model with a choice based on both the degree and fitness of a vertex.
Y.A. Malyshkin
doaj +1 more source
The complexity of degree anonymization by vertex addition [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bredereck, Robert +5 more
openaire +2 more sources
Functional Connectivity Linked to Cognitive Recovery After Minor Stroke
ABSTRACT Objective Patients with minor stroke exhibit slowed processing speed and generalized alterations in functional connectivity involving frontoparietal cortex (FPC). The pattern of connectivity evolves over time. In this study, we examine the relationship of functional connectivity patterns to cognitive performance, to determine ...
Vrishab Commuri +7 more
wiley +1 more source
Topological descriptors are numerical results generated from the structure of a chemical graph that are useful in identifying the physicochemical characteristics of a wide range of drugs.
Muhammad Waheed Rasheed +2 more
doaj +1 more source
New Results on the Forgotten Topological Index and Coindex
The ℱ-coindex (forgotten topological coindex) for a simple connected graph G is defined as the sum of the terms ζG2y+ζG2x over all nonadjacent vertex pairs x,y of G, where ζGy and ζGx are the degrees of the vertices y and x in G, respectively.
Akbar Jahanbani +2 more
doaj +1 more source
We prove a general multi-dimensional central limit theorem for the expected number of vertices of a given degree in the family of planar maps whose vertex degrees are restricted to an arbitrary (finite or infinite) set of positive integers D. Our results rely on a classical bijection with mobiles (objects exhibiting a tree structure), combined with ...
Collet, Gwendal +2 more
openaire +2 more sources
Clustering Algorithm Reveals Dopamine‐Motor Mismatch in Cognitively Preserved Parkinson's Disease
ABSTRACT Objective To explore the relationship between dopaminergic denervation and motor impairment in two de novo Parkinson's disease (PD) cohorts. Methods n = 249 PD patients from Parkinson's Progression Markers Initiative (PPMI) and n = 84 from an external clinical cohort.
Rachele Malito +14 more
wiley +1 more source

