Results 41 to 50 of about 1,059 (263)
Eccentric connectivity index of certain classes of cycloalkenes [PDF]
Let G be a simple connected molecular graph. The eccentric connectivity index ξ(G) is defined as ξ(G)=∑vϵV(G)deg(v)ec(v), where deg(v) denotes the degree of vertex v and ec(v) is the largest distance between v and any other vertex uϵG.
Haoer, Raad Sehen +4 more
core +1 more source
On Entropy Measures and Eccentricity-Based Descriptors of Polyamidoamine (PAMAM) Dendrimers
Topological indices (TIs) assign a numeric value to a graph or a molecular structure. Due to their ability to predict the physiochemical properties of a molecular graph, several TIs have been introduced and studied, mainly based on degree and distance ...
Zhi-Hao Hui +6 more
doaj +1 more source
Eccentric connectivity index of unicyclic graphs with application to cycloalkanes [PDF]
Let G be a simple connected molecular graph. The eccentric connectivity index ξ(G) is defined as ξ (G) = ∑ν∈V(G)deg (ν)ec(ν), where deg(ν) denotes the degree of vertex v and ec(ν) is the largest distance between ν and any other vertex u of G.
Haoer, Raad Sehen +7 more
core +1 more source
In this study, we found that human cervical‐derived adipocytes maintain intracellular iron level by regulating the expression of iron transport‐related proteins during adrenergic stimulation. Melanotransferrin is predicted to interact with transferrin receptor 1 based on in silico analysis.
Rahaf Alrifai +9 more
wiley +1 more source
Computing Eccentricity Based Topological Indices of Octagonal Grid O n m
Graph theory is successfully applied in developing a relationship between chemical structure and biological activity. The relationship of two graph invariants, the eccentric connectivity index and the eccentric Zagreb index are investigated with regard ...
Xiujun Zhang +3 more
doaj +1 more source
On the Eccentric Connectivity Polynomial of ℱ-Sum of Connected Graphs
The eccentric connectivity polynomial (ECP) of a connected graph G=VG,EG is described as ξcG,y=∑a∈VGdegGayecGa, where ecGa and degGa represent the eccentricity and the degree of the vertex a, respectively.
Muhammad Imran +2 more
doaj +1 more source
Ordering graphs with large eccentricity-based topological indices
For a connected graph, the first Zagreb eccentricity index ξ 1 $\xi _{1}$ is defined as the sum of the squares of the eccentricities of all vertices, and the second Zagreb eccentricity index ξ 2 $\xi _{2}$ is defined as the sum of the products of the ...
Yunfang Tang, Xuli Qi
doaj +1 more source
Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system
Age‐dependent shifts in microbial communities engender shifts in microbial metabolite profiles. These in turn drive shifts in barrier surface permeability of the gut and brain and induce immune activation. When paired with preexisting age‐related chronic inflammation this increases the risk of neuroinflammation and neurodegenerative diseases.
Aaron Mehl, Eran Blacher
wiley +1 more source
Eccentric Connectivity Index of Strongly Connected Digraphs
Let $G = (V, E)$ be a graph with non-empty set of vertices $V$ and set of edges $E$. The \emph{eccentric connectivity index} of the graph $G$ is defined as $$\displaystyle{ξ^C(G) = \sum_{u \in V} d_u \;ecc(u)}$$ where $d_u$ is the degree and $ecc(u)$ is the eccentricity of the vertex $u \in V$.
Vysakh Chakooth +2 more
openaire +2 more sources
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

