Results 11 to 20 of about 8,099 (211)

On the Fault Tolerant Partition Resolvability of Toeplitz Networks [PDF]

Mathematical Problems in Engineering, 2022
In any interconnection network, fault tolerance is the most desirable property to achieve reliability. Toeplitz networks are used as interconnection networks due their smaller diameter, symmetry, simpler routing, high connectivity, and reliability. The partition dimension of a network is presented as an extension of metric dimension of networks.
Asim Nadeem, Agha Kashif, Amer Aljaedi, Sohail Zafar   +3 more
openaire   +1 more source

Fault-Tolerant Partition Resolvability of Cyclic Networks [PDF]

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. Structure of web sites containing number of pages can be represented using graph, where web pages are ...
Kamran Azhar, Sohail Zafar, Agha Kashif, Michael Onyango Ojiema   +3 more
openaire   +2 more sources

Fault-tolerant partition resolvability of cycle with chord. [PDF]

PLoS One
In the realm of connected networks, distance-based parameters, particularly the partition dimension of graphs, have extensive applications across various fields, including chemistry and computer science. A notable variant of the partition dimension is the fault-tolerant resolving partition, which is critical in computer science for networking ...
Azhar K, Zafar S, Nadeem A, Shang Y.
europepmc   +4 more sources

Breast cancer chemical structures and their partition resolvability

Mathematical Biosciences and Engineering, 2022
<abstract><p>Cancer is a disease that causes abnormal cell formation and spreads throughout the body, causing harm to other organs. Breast cancer is the most common kind among many of cancers worldwide. Breast cancer affects women due to hormonal changes or genetic mutations in DNA.
Qingqun Huang, Adnan Khalil, Didar Abdulkhaleq Ali, Ali Ahmad, Ricai Luo, Muhammad Azeem   +5 more
openaire   +3 more sources

Subspace partitioning in human prefrontal cortex resolves cognitive interference

Proceedings of the National Academy of Sciences, 2022
Abstract Human prefrontal cortex (PFC) constitutes the structural basis underlying flexible cognitive control, where mixed-selective neural populations encode multiple task-features to guide subsequent behavior. The mechanisms by which the brain simultaneously encodes multiple task-relevant variables while minimizing interference from ...
Jan Weber, Gabriela Iwama, Anne-Kristin Solbakk, Alejandro O. Blenkmann, Pal G. Larsson, Jugoslav Ivanovic, Robert T. Knight, Tor Endestad, Randolph Helfrich   +8 more
openaire   +2 more sources

Fault Tolerant Partition Resolvability in Convex Polytopes

Mathematical Problems in Engineering, 2022
Convex polytopes are special types of polytopes having an additional property that they are also convex sets in the n-dimensional Euclidean space. The convex polytope topologies are being used in the antitracking networks due to their stability, resilience, and destroy-resistance.
Asim Nadeem, Agha Kashif, Ebenezer Bonyah, Sohail Zafar   +3 more
openaire   +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 each node in the presence of faults, having promising applications in telecommunication, robot ...
Kamran Azhar, Sohail Zafar, Agha Kashif, Amer Aljaedi, Umar Albalawi   +4 more
openaire   +2 more sources

Quantum Barnes Function as the Partition Functionof the Resolved Conifold [PDF]

International Journal of Mathematics and Mathematical Sciences, 2008
We give a short new proof of large N duality between the Chern‐Simons invariants of the 3‐sphere and the Gromov‐Witten/Donaldson‐Thomas invariants of the resolved conifold. Our strategy applies to more general situations, and it is to interpret the Gromov‐Witten, the Donaldson‐Thomas, and the Chern‐Simons invariants as different characterizations of ...
openaire   +3 more sources

Phylogenomics and a posteriori data partitioning resolve the Cretaceous angiosperm radiation Malpighiales [PDF]

Proceedings of the National Academy of Sciences, 2012
The angiosperm order Malpighiales includes ∼16,000 species and constitutes up to 40% of the understory tree diversity in tropical rain forests. Despite remarkable progress in angiosperm systematics during the last 20 y, relationships within Malpighiales remain poorly resolved, possibly owing to its rapid rise during the mid-Cretaceous.
Xi, Zhenxiang, Ruhfel, Brad R, Schaefer, Hanno, Amorim, André M, Sugumaran, M, Wurdack, Kenneth J, Endress, Peter K, Matthews, Merran L, Stevens, Peter F, Mathews, Sarah, Davis, Charles C   +10 more
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Local Metric and Partition Resolvability of Graphs With Applications

International Journal of Mathematics and Mathematical Sciences
The distance‐based graph parameters are being used extensively in the fields of chemistry, computer science, scheduling and in many operations’ management problems. The unique identification of vertices plays a key role in the computation of these parameters.
Kamran Azhar, Asim Nadeem, Yilun Shang
openaire   +3 more sources