Results 31 to 40 of about 684 (218)

Computation of Edge Resolvability of Benzenoid Tripod Structure

Journal of Mathematics, 2021
In chemistry, graphs are commonly used to show the structure of chemical compounds, with nodes and edges representing the atom and bond types, respectively.
Ali Ahmad, Sadia Husain, Muhammad Azeem, Kashif Elahi, M. K. Siddiqui   +4 more
doaj   +1 more source

Fault-Tolerant Partition Resolvability of Cyclic Networks

Journal of Mathematics, 2021
Graph invariants provide an amazing tool to analyze the abstract structures of networks. The interaction and interconnection between devices, sensors, and service providers have opened the door for an eruption of mobile over the web applications ...
Kamran Azhar, Sohail Zafar, Agha Kashif, Michael Onyango Ojiema   +3 more
doaj   +1 more source

Fault-Tolerant Partition Resolvability in Mesh Related Networks and Applications

IEEE Access, 2022
Fault-tolerance of a system measures its working capability in the presence of faulty components in the system. The fault-tolerant partition dimension of a network computes the least number of subcomponents of network required to distinctively identify ...
Kamran Azhar, Sohail Zafar, Agha Kashif, Amer Aljaedi, Umar Albalawi   +4 more
doaj   +1 more source

Fault-Tolerant Resolvability of Swapped Optical Transpose Interconnection System

Journal of Mathematics, 2022
Interconnection systems in computer science and information technology are mainly represented by graphs. One such instance is of swapped network simulated by the optical transpose interconnection system (OTIS).
Iffat Fida Hussain, Sheeba Afridi, Ahmad Mahmood Qureshi, Gohar Ali, Usman Ali   +4 more
doaj   +1 more source

Optimal Multi-Level Fault-Tolerant Resolving Sets of Circulant Graph C(n : 1, 2)

Mathematics, 2023
Let G=(V(G),E(G)) be a simple connected unweighted graph. A set R⊂V(G) is called a fault-tolerant resolving set with the tolerance level k if the cardinality of the set Sx,y={w∈R:d(w,x)≠d(w,y)} is at least k for every pair of distinct vertices x,y of G ...
Laxman Saha, Bapan Das, Kalishankar Tiwary, Kinkar Chandra Das, Yilun Shang   +4 more
doaj   +1 more source

Fault-tolerant basis and fault-tolerant edge basis of three classes of French windmill graphs

Ain Shams Engineering Journal
A resolving set is a subset of vertices that uniquely identifies every vertex based on distances. A fault-tolerant resolving set maintains this condition under any single-vertex removal, and the minimum size of such a set is the fault-tolerant metric ...
S. Prabhu, P. Angelin Kiruba, A. Davoodi, Paul Manuel   +3 more
doaj   +1 more source

Fault tolerance for metric dimension and its variants

Discrete Applied Mathematics
Hernando et al. (2008) introduced the fault-tolerant metric dimension $\text{ftdim}(G)$, which is the size of the smallest resolving set $S$ of a graph $G$ such that $S-\left\{s\right\}$ is also a resolving set of $G$ for every $s \in S$. They found an upper bound $\text{ftdim}(G) \le \dim(G) (1+2 \cdot 5^{\dim(G)-1})$, where $\dim(G)$ denotes the ...
Jesse Geneson, Shen-Fu Tsai
openaire   +2 more sources

Fault-tolerant edge metric dimension of certain families of graphs

AIMS Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaogang Liu, Muhammad Ahsan, Zohaib Zahid, Shuili Ren   +3 more
openaire   +3 more sources

Comparative Evaluation of Hemodiafiltration, Hemoperfusion, and Standard Hemodialysis on Efficacy, Inflammatory Control, Dialysis Adequacy, and Safety in End‐Stage Renal Disease: A Prospective Observational Study

Therapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Background Chronic micro‐inflammation in patients with end‐stage renal disease (ESRD) is a significant driver of cardiovascular complications and diminished quality of life. While standard hemodialysis (SHD) effectively manages small‐molecule clearance, its ability to remove medium‐to‐large uremic toxins—the primary catalysts of systemic ...
Hongwei Zuo, Weisi Dai, Jie Mao, Mei Ye, Xingshan Lu, Xiaocui Zhang   +5 more
wiley   +1 more source

Partial depletion of plasminogen activator inhibitor‐1 decreases subcutaneous fat cell hypertrophy and liver cholesterol in high‐fat‐fed female mice

FEBS Letters, EarlyView.
Obesity raises blood levels of PAI‐1, a protein linked to metabolic dysfunction‐associated steatotic liver disease in people with obesity. In female mice fed a high‐fat diet, partially lowering PAI‐1 led to smaller subcutaneous fat cells and lower liver cholesterol, without changing body weight or insulin sensitivity.
Claudia E. Ramirez Bustamante, Robert Sharp, Pradip K. Saha, Elizabeth S. Anaya, Elizabeth L. Lieu, Evelyn L. de Groot, Pooja Patel, Mi Jeong Heo, Aaron R. Cox, Kang Ho Kim, Sean M. Hartig   +10 more
wiley   +1 more source