Results 31 to 40 of about 669,922 (254)

Metric based resolvability of cycle related graphs

open access: yesAIMS Mathematics
If a subset of vertices of a graph, designed in such a way that the remaining vertices have unique identification (usually called representations) with respect to the selected subset, then this subset is named as a metric basis (or resolving set).
Ali N. A. Koam
doaj   +1 more source

The Dominant Metric Dimension of Corona Product Graphs

open access: yesمجلة بغداد للعلوم, 2021
The metric dimension and dominating set are the concept of graph theory that can be developed in terms of the concept and its application in graph operations.
Rembulan Putri Adirasari   +2 more
doaj   +1 more source

The Simultaneous Metric Dimension of Families Composed by Lexicographic Product Graphs

open access: yes, 2015
Let ${\mathcal G}$ be a graph family defined on a common (labeled) vertex set $V$. A set $S\subseteq V$ is said to be a simultaneous metric generator for ${\cal G}$ if for every $G\in {\cal G}$ and every pair of different vertices $u,v\in V$ there exists
Estrada-Moreno, Alejandro   +2 more
core   +1 more source

On the metric dimension of imprimitive distance-regular graphs

open access: yes, 2016
A resolving set for a graph $\Gamma$ is a collection of vertices $S$, chosen so that for each vertex $v$, the list of distances from $v$ to the members of $S$ uniquely specifies $v$.
Bailey, Robert F.
core   +1 more source

Computing dominant metric dimensions of certain connected networks

open access: yesHeliyon
In the studies of the connected networks, metric dimension being a distance-based parameter got much more attention of the researches due to its wide range of applications in different areas of chemistry and computer science. At present its various types
Imtiaz Ali, Muhammad Javaid, Yilun Shang
doaj   +1 more source

Evolutionary interplay between viruses and R‐loops

open access: yesFEBS Letters, EarlyView.
Viruses interact with specialized nucleic acid structures called R‐loops to influence host transcription, epigenetic states, latency, and immune evasion. This Perspective examines the roles of R‐loops in viral replication, integration, and silencing, and how viruses co‐opt or avoid these structures.
Zsolt Karányi   +4 more
wiley   +1 more source

Honeycomb Rhombic Torus Vertex-Edge Based Resolvability Parameters and Its Application in Robot Navigation

open access: yesIEEE Access
In the aircraft sector, honeycomb composite materials are frequently employed. Recent research has demonstrated the benefits of honeycomb structures in applications involving nanohole arrays in anodized alumina, micro-porous arrays in polymer thin films,
Sidra Bukhari   +3 more
doaj   +1 more source

Fault-Tolerant Metric Dimension of Circulant Graphs

open access: yesMathematics, 2022
Let G be a connected graph with vertex set V(G) and d(u,v) be the distance between the vertices u and v. A set of vertices S={s1,s2,…,sk}⊂V(G) is called a resolving set for G if, for any two distinct vertices u,v∈V(G), there is a vertex si∈S such that d ...
Laxman Saha   +4 more
doaj   +1 more source

Metric Mean Dimension for Algebraic Actions of Sofic Groups [PDF]

open access: yes, 2015
Recently Bingbing Liang and Hanfeng Li computed the mean dimension and metric mean dimension for algebraic actions of amenable groups. We show how to extend their computation of metric mean dimension to the case of sofic groups, provided that the dual ...
Hayes, Ben
core  

From omics to AI—mapping the pathogenic pathways in type 2 diabetes

open access: yesFEBS Letters, EarlyView.
Integrating multi‐omics data with AI‐based modelling (unsupervised and supervised machine learning) identify optimal patient clusters, informing AI‐driven accurate risk stratification. Digital twins simulate individual trajectories in real time, guiding precision medicine by matching patients to targeted therapies.
Siobhán O'Sullivan   +2 more
wiley   +1 more source

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