On Entropy Measures and Eccentricity-Based Descriptors of Polyamidoamine (PAMAM) Dendrimers
Journal of Chemistry, 2022 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
Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system
FEBS Letters, EarlyView.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 unicyclic graphs with application to cycloalkanes [PDF]
, 2015 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
Eccentric Connectivity Index of Strongly Connected Digraphs
CoRRLet $G = (V, E)$ 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
The microbiome in human skin aging
FEBS Letters, EarlyView.Age‐related skin changes encompass the well‐known visible phenotypic alterations, together with microbiome dysbiosis and a series of molecular aging hallmarks. These hallmarks characterize not only a fully stablished aged phenotype but also the skin aging process itself.
Manuel Huerta Arana +3 more
wiley +1 more source
Eccentric connectivity index of certain classes of cycloalkenes [PDF]
, 2015 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 the Eccentric Connectivity Polynomial of ℱ-Sum of Connected Graphs
Complexity, 2020 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
Journal of Inequalities and Applications, 2021 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
Ligand‐dependent transcriptional heterogeneity in cell cycle gene expression delays G1/S entry
FEBS Letters, EarlyView.EGF and HRG induce distinct G1/S progression programs in ErbB2‐amplified BT474 breast cancer cells. Despite activating the potent ErbB2–ErbB3 heterodimer, HRG does not accelerate cell‐cycle entry. Instead, EGF promotes earlier restriction‐point passage via ERK–FOS signaling, whereas HRG activates the AKT–MYC axis, driving transcriptional heterogeneity ...
Ririn Rahmala Febri +5 more
wiley +1 more source
Computing Eccentricity Based Topological Indices of Octagonal Grid O n m
Mathematics, 2018 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