Results 11 to 20 of about 2,887,546 (204)

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   +2 more sources

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   +2 more sources

Metric and fault-tolerant metric dimension for GeSbTe superlattice chemical structure. [PDF]

PLoS One, 2023
The concept of metric dimension has many applications, including optimizing sensor placement in networks and identifying influential persons in social networks, which aids in effective resource allocation and focused interventions; finding the source of ...
Liqin L, Shahzad K, Rauf A, Tchier F, Aslam A.   +4 more
europepmc   +2 more sources

All metric bases and fault-tolerant metric dimension for square of grid [PDF]

, 2022
For a simple connected graph G = (V,E) and an ordered subset W = {w1, w2, . . . , wk} of V , the code of a vertex v ∈ V , denoted by code(v), with respect to W is a k-tuple (d(v, w1), . . .
Tiwary, Kalishankar, Basak, Mithun, Saha, Laxman, Mithun Basak, Laxman Saha, Kalishankar Tiwary   +5 more
core   +2 more sources

Fault-Tolerant Metric Dimension (FTMD) of M-polynomial of Zigzag Edge Coronoid Fused by Starphene

, 2023
Abstract The application of graph invariants serves as a valuable tool for analyzing the complex structures of molecular graphs, attracting researchers across various fields. Graph theory has played a pivotal role in explaining chemical structures and finding practical applications.
Umar Farooq, Faryal Chudhary, Deeba Afzal, Waseem Abbas   +3 more
openaire   +1 more source

Fault-tolerance in metric dimension of boron nanotubes lattices [PDF]

, 2023
The concept of resolving set and metric basis has been very successful because of multi-purpose applications both in computer and mathematical sciences.
Muhammad Mobeen Munir, Zafar Hussain, Hussain, Zafar, Munir, Muhammad Mobeen   +3 more
core   +1 more source

Real-time fault diagnosis and fault-tolerant control [PDF]

, 2015
This "Special Section on Real-Time Fault Diagnosis and Fault-Tolerant Control" of the IEEE Transactions on Industrial Electronics is motivated to provide a forum for academic and industrial communities to report recent theoretic/application results in ...
Cecati, Carlo, Ding, Steven X., Gao, Zhiwei   +2 more
core   +1 more source

Computing Fault-Tolerant Metric Dimension of Connected Graphs

, 2022
For a connected graph, the concept of metric dimension contributes an important role in computer networking and in the formation of chemical structures.
Sara Ahmed, Muhammad Javaid, Md Nur Alam, Uzma Ahmad   +3 more
core   +1 more source

Fault-Tolerant Metric Dimension of Wheel related Graphs

, 2019
Concept of resolving set and metric basis has enjoyed a lot of success because of multipurpose applications both in computer and mathematical sciences.
Munir, Mobeen, Liu, Jia-Bao, Hussain, Zaffar, Ali, Imtiaz, Ahmed, Ashfaq   +4 more
core   +3 more sources

FAULT-TOLERANT METRIC DIMENSION OF CIRCULANT GRAPHS [PDF]

, 2019
A set $W$ of vertices in a graph $G$ is called a resolving setfor $G$ if for every pair of distinct vertices $u$ and $v$ of $G$ there exists a vertex $w \in W$ such that the distance between $u$ and $w$ is different from the distance between $v$ and $w$.
Seyedi, Narjes, Maimani, Hamid Reza, Hamid Reza Maimani, Narjes Seyedi   +3 more
core   +1 more source