Results 41 to 50 of about 21,234 (294)
F index of graphs based on four new operations related to the strong product
AKCE International Journal of Graphs and Combinatorics, 2020 For a molecular graph, the first Zagreb index of a graph is equal to the sum of squares of the vertex degrees of the graph and the forgotten topological index (F-index) of a graph is defined as the sum of cubes of the vertex degrees of the graph.
D. Sarala +3 more
doaj +1 more source
FEBS Open Bio, EarlyView.UiO‐66(Zr) metal–organic frameworks are chemically stable, biocompatible, and highly tunable nanomaterials. Their modular structure enables controlled drug delivery, multimodal bioimaging, and light‐activated photodynamic therapy, supporting integrated diagnostic and therapeutic (theranostic) applications in cancer and biomedical research.
Veronika Huntošová +2 more
wiley +1 more source
Some results on the palette index of graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2019 Given a proper edge coloring $\varphi$ of a graph $G$, we define the palette $S_{G}(v,\varphi)$ of a vertex $v \in V(G)$ as the set of all colors appearing on edges incident with $v$.
C. J. Casselgren, Petros A. Petrosyan
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A Golden Ratio Inequality for Vertex Degrees of Graphs [PDF]
The American Mathematical Monthly, 2019 Motivated by the study of the crossing number of graphs, it is shown that, for trees, the sum of the products of the degrees of the end-vertices of all edges has an upper bound in terms of the sum of all vertex degrees to the power of $ϕ^2$, where $ϕ$ is the golden ratio. The exponent $ϕ^2$ is best possible.
Fiachra Knox, Bojan Mohar, David R. Wood
openaire +2 more sources
Frontiers in ChemistryTopological 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
Clustering Algorithm Reveals Dopamine‐Motor Mismatch in Cognitively Preserved Parkinson's Disease
Annals of Clinical and Translational Neurology, EarlyView.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
On Omega Index and Average Degree of Graphs
Journal of Mathematics, 2021 Average degree of a graph is defined to be a graph invariant equal to the arithmetic mean of all vertex degrees and has many applications, especially in determining the irregularity degrees of networks and social sciences.
Sadik Delen +3 more
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Fringe trees for random trees with given vertex degrees
, 2023 We prove asymptotic normality for the number of fringe subtrees isomorphic to any given tree in uniformly random trees with given vertex degrees. As applications, we also prove corresponding results for random labelled trees with given vertex degrees ...
Holmgren, Cecilia +2 more
core
Vertex Removal in Two Dimensional Delaunay Triangulation: Speed-up by Low Degrees Optimization [PDF]
, 2011 International audienceThe theoretical complexity of vertex removal in a Delaunay triangulation is often given in terms of the degree d of the removed point, with usual results O(d), O(d log d), or O(d²).
Olivier Devillers, Devillers, Olivier
core +1 more source
Frontiers in PhysicsA 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