Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
On Fault‐Tolerant Resolving Sets of Some Families of Ladder Networks
View through CrossRef
In computer networks, vertices represent hosts or servers, and edges represent as the connecting medium between them. In localization, some special vertices (resolving sets) are selected to locate the position of all vertices in a computer network. If an arbitrary vertex stopped working and selected vertices still remain the resolving set, then the chosen set is called as the fault‐tolerant resolving set. The least number of vertices in such resolving sets is called the fault‐tolerant metric dimension of the network. Because of the variety of applications of the metric dimension in different areas of sciences, many generalizations were proposed, and fault tolerant is one of them. In this paper, we computed the fault‐tolerant metric dimension of triangular snake, ladder, Mobius ladder, and hexagonal ladder networks. It is important to observe that, in all these classes of networks, the fault‐tolerant metric dimension and metric dimension differ by 1.
Title: On Fault‐Tolerant Resolving Sets of Some Families of Ladder Networks
Description:
In computer networks, vertices represent hosts or servers, and edges represent as the connecting medium between them.
In localization, some special vertices (resolving sets) are selected to locate the position of all vertices in a computer network.
If an arbitrary vertex stopped working and selected vertices still remain the resolving set, then the chosen set is called as the fault‐tolerant resolving set.
The least number of vertices in such resolving sets is called the fault‐tolerant metric dimension of the network.
Because of the variety of applications of the metric dimension in different areas of sciences, many generalizations were proposed, and fault tolerant is one of them.
In this paper, we computed the fault‐tolerant metric dimension of triangular snake, ladder, Mobius ladder, and hexagonal ladder networks.
It is important to observe that, in all these classes of networks, the fault‐tolerant metric dimension and metric dimension differ by 1.
Related Results
Integration Techniques of Fault Detection and Isolation Using Interval Observers
Integration Techniques of Fault Detection and Isolation Using Interval Observers
An interval observer has been illustrated to be a suitable approach to detect and isolate faults affecting complex dynamical industrial systems.
Concerning fault detection, interv...
Progressive Optimal Fault-Tolerant Control Combining Active and Passive Control Manners
Progressive Optimal Fault-Tolerant Control Combining Active and Passive Control Manners
This study develops a progressive optimal fault-tolerant control method based on insufficient fault information. By combining passive and active fault-tolerant control manners duri...
Family Pediatrics
Family Pediatrics
ABSTRACT/EXECUTIVE SUMMARYWhy a Task Force on the Family?The practice of pediatrics is unique among medical specialties in many ways, among which is the nearly certain presence of ...
Deformational Processes Accommodating Slip on an Active Low-Angle Normal Fault, Suckling-Dayman Metamorphic Core Complex, Papua New Guinea
Deformational Processes Accommodating Slip on an Active Low-Angle Normal Fault, Suckling-Dayman Metamorphic Core Complex, Papua New Guinea
<p><b>Detachment faults that can be shown to have slipped at dips <30° in highly extended continental crust are referred to as “Low-Angle Normal Faults” (LANFs). The...
Decomposition and Evolution of Intracontinental Strike‐Slip Faults in Eastern Tibetan Plateau
Decomposition and Evolution of Intracontinental Strike‐Slip Faults in Eastern Tibetan Plateau
Abstract:Little attention had been paid to the intracontinental strike‐slip faults of the Tibetan Plateau. Since the discovery of the Longriba fault using re‐measured GPS data in 2...
Fault-Tolerant Resolvability and Extremal Structures of Graphs
Fault-Tolerant Resolvability and Extremal Structures of Graphs
In this paper, we consider fault-tolerant resolving sets in graphs. We characterize n-vertex graphs with fault-tolerant metric dimension n, n − 1 , and 2, which are the lowe...
Chapter 4: Displacement on the southern San Andreas fault
Chapter 4: Displacement on the southern San Andreas fault
The pre-Quaternary geology of the southern Chocolate and Cargo Muchacho mountains correlates with that exposed in San Gorgonio Pass between the Mission Creek and Banning branches o...
Late Quaternary Activity: Kouma Fault
Late Quaternary Activity: Kouma Fault
The Kouma Fault, located at the northern foot of the Mangshan Mountain in Luoyang City, Henan Province, China, is an active fault newly discovered in the field seismic geological s...