Search Results - "Topological Data Analysis in Science and Engineering"

An Algebraic Approach of Topological Indices Connected with Finite Quasigroups

Authors: Muhammad Nadeem Md. Ashraful Alam Nor Muhainiah Mohd Ali et al.

Source: Journal of Function Spaces, Vol 2024 (2024)

Subject Terms: Algebraic number, Deformations and Structures of Hom-Lie Algebras, 01 natural sciences, Mathematical analysis, 7. Clean energy, Statistical Topology, QA1-939, FOS: Mathematics, 0101 mathematics, Topology (electrical circuits), Shape Analysis, Algebra over a field, Algebra and Number Theory, Graph Spectra and Topological Indices, Topological Methods, Pure mathematics, Discrete mathematics, Topological Indices, 0104 chemical sciences, Topological Data Analysis in Science and Engineering, Computational Theory and Mathematics, Combinatorics, Physical Sciences, Computer Science, Geometry and Topology, Quasi-Lie Algebras, Mathematics

Access URL: https://doaj.org/article/7defeedcc34b4ba086db6371bbd65084

Cohomological connectivity of perturbations of map‐germs

Authors: Yongqiang Liu Guillermo Peñafort Sanchis Matthias Zach

Source: Mathematische Nachrichten. 297:1601-1631

Subject Terms: Artificial intelligence, 58K15, 58K60, 32S30, 57R45, Mechanics, 01 natural sciences, Mathematical analysis, Gene, Biochemistry, Quantum mechanics, Cohomology, Mathematics - Algebraic Geometry, Perturbation (astronomy), 0103 physical sciences, FOS: Mathematics, ddc:510, 0101 mathematics, Algebraic Geometry (math.AG), Mathematical Physics, Persistent Homology, Physics, Pure mathematics, Instability, Computer science, Germ, Chemistry, Topological Data Analysis in Science and Engineering, Computational Theory and Mathematics, Dynamical Systems and Chaos Theory, Physical Sciences, Computer Science, Locus (genetics), Deformation Quantization of Poisson Manifolds, Monodromy, Mathematics, Discriminant

File Description: application/pdf

Access URL: http://arxiv.org/abs/2103.14685
https://kluedo.ub.rptu.de/frontdoor/index/index/docId/8831

Multiplicative topological indices: Analytical properties and application to random networks

Authors: R. Aguilar-Sánchez J. A. Méndez‐Bermúdez José M. Rodrı́guez et al.

Contributors: R. Aguilar-Sánchez J. A. Méndez‐Bermúdez José M. Rodrı́guez et al.

Source: e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid
Universidad Carlos III de Madrid (UC3M)
AIMS Mathematics, Vol 9, Iss 2, Pp 3646-3670 (2024)

Subject Terms: multiplicative topological index, Matemáticas, Multiplicative function, Geometry, 02 engineering and technology, 01 natural sciences, Mathematical analysis, Scaling, Graph, Statistical Topology, Context (archaeology), QA1-939, FOS: Mathematics, Mathematics - Combinatorics, Multiplicative topological index, Degree (music), Biology, random graphs, Random graphs, Topology (electrical circuits), Degree-based topological index, Physics, Graph Spectra and Topological Indices, Topological Methods, degree-based topological index, Paleontology, Statistical and Nonlinear Physics, Acoustics, Discrete mathematics, Topological Indices, 0104 chemical sciences, Vertex (graph theory), Topological Data Analysis in Science and Engineering, Physics and Astronomy, Computational Theory and Mathematics, Combinatorics, Physical Sciences, Computer Science, Statistical Mechanics of Complex Networks, Combinatorics (math.CO), Geometry and Topology, 0210 nano-technology, Mathematics

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Access URL: http://arxiv.org/abs/2306.02511
https://hdl.handle.net/10016/47332
https://doaj.org/article/64abeb91b3fd4947bc1975057487d129

Advancing Computational Insights: Domination Topological Indices of Polysaccharides Using Special Polynomials and QSPR Analysis

Authors: Suha Wazzan Hanan Ahmed

Source: Contemporary Mathematics. :26-49

Subject Terms: Topology (electrical circuits), Shape Analysis, Algebra over a field, Graph Spectra and Topological Indices, Topological Methods, Pure mathematics, Topological Indices, Complex Networks, Computer science, Statistical Topology, Topological Data Analysis in Science and Engineering, Computational Theory and Mathematics, Combinatorics, Physical Sciences, Computer Science, Machine learning, FOS: Mathematics, Geometry and Topology, Quantitative structure–activity relationship, Mathematics

Computing Topological Indices of 3-Layered Artificial Neural Network

Authors: V Gayathiri A Manimaran

Source: Contemporary Mathematics. :1135-1149

Subject Terms: Artificial neural network, Artificial intelligence, Time delay neural network, Probabilistic neural network, Representation Learning, 7. Clean energy, Graph, Statistical Topology, Artificial Intelligence, FOS: Mathematics, Signal Processing on Graphs, Artificial Neural Networks, Probabilistic logic, Topology (electrical circuits), Shape Analysis, 4. Education, Neural Network Fundamentals and Applications, Discrete mathematics, Computer science, Stochastic neural network, Vertex (graph theory), Algorithm, Topological Data Analysis in Science and Engineering, Computational Theory and Mathematics, Combinatorics, Computer Science, Physical Sciences, Graph Neural Network Models and Applications, Mathematics

Discrete-to-Continuous Extensions: Lovász Extension and Morse Theory

Authors: Jürgen Jost Dong Zhang

Source: Discrete & Computational Geometry. 72:49-72

Subject Terms: Physiology, Mathematical analysis, Mechanisms of Alzheimer's Disease, Health Sciences, FOS: Mathematics, Mathematics - Combinatorics, Circle-valued Morse theory, Morse theory, Simplicial complex, Mathematics - Optimization and Control, Mathematical Physics, Discrete Morse theory, Persistent Homology, Algebra over a field, Extension (predicate logic), 4. Education, Pure mathematics, Morse code, Discrete mathematics, 16. Peace & justice, Computer science, Programming language, Topological Data Analysis in Science and Engineering, Computational Theory and Mathematics, Optimization and Control (math.OC), Piecewise, FOS: Biological sciences, Computer Science, Physical Sciences, Telecommunications, Deformation Quantization of Poisson Manifolds, Medicine, Combinatorics (math.CO), Mathematics

Access URL: http://arxiv.org/abs/2003.06021

A Combinatorial Bijection between Ordered Trees and Lattice Paths

Authors: Leandro Rocha Elen Viviani Pereira Spreafico

Source: Trends in Computational and Applied Mathematics, Vol 24, Iss 3 (2023)
Trends in Computational and Applied Mathematics, Volume: 24, Issue: 3, Pages: 427-436, Published: 28 JUL 2023

Subject Terms: Combinatorial Mathematics and Algebraic Combinatorics, Set (abstract data type), 0102 computer and information sciences, Trinomial, 01 natural sciences, Biochemistry, Catalan number, ordered trees, QA1-939, FOS: Mathematics, Discrete Mathematics and Combinatorics, 0101 mathematics, Enumerative Combinatorics, central trinomial coefficients, Combinatorial method, Physics, Bijection, Cantorian-Fractal Theory of Quantum Physics, Statistical and Nonlinear Physics, Acoustics, Discrete mathematics, Lattice (music), Computer science, Programming language, lattice paths, combinatorial identity, Chemistry, Topological Data Analysis in Science and Engineering, Physics and Astronomy, Computational Theory and Mathematics, Combinatorics, Physical Sciences, Computer Science, Mathematics, Sequence (biology)

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Access URL: https://doaj.org/article/f0a3dbafc0e14042841f035943151c7a
http://www.scielo.br/scielo.php?script=sci_arttext&pid=S2676-00292023000300427&lng=en&tlng=en

Three-Dimensional Structural Modelling and Characterization of Sodalite Material Network concerning the Irregularity Topological Indices

Authors: Shahid Zaman Muhammad Salman Asad Ullah et al.

Source: Journal of Mathematics, Vol 2023 (2023)

Subject Terms: Artificial intelligence, Sodalite, Variety (cybernetics), Network Pharmacology, 01 natural sciences, Biochemistry, Graph, Catalysis, Statistical Topology, Theoretical computer science, QA1-939, FOS: Mathematics, Nanotechnology, Data mining, Biology, Topology (electrical circuits), Shape Analysis, FOS: Nanotechnology, Zeolite, Graph Spectra and Topological Indices, Measure (data warehouse), Topological Indices, Computer science, Materials science, 3. Good health, 0104 chemical sciences, Graph theory, Chemistry, Topological Data Analysis in Science and Engineering, Computational Theory and Mathematics, Combinatorics, Biological system, Physical Sciences, Computer Science, Geometry and Topology, Mathematics, Characterization (materials science), Computational Methods in Drug Discovery

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Access URL: https://doaj.org/article/5b33f9cb52b941e586c075496807deb7

𝓗1 persistent features of the resting-state connectome in healthy subjects

Authors: Darwin Martínez Fabio A. González Francisco Gómez Gómez

Source: Netw Neurosci
Network Neuroscience, Vol 7, Iss 1, Pp 234-253 (2023)

Subject Terms: Radiology, Nuclear Medicine and Imaging, Artificial intelligence, Cognitive Neuroscience, Population, Neurosciences. Biological psychiatry. Neuropsychiatry, Analysis of Brain Functional Connectivity Networks, Pairwise comparison, Functional Connectivity, Graph, Statistical Topology, Functional connectivity, 03 medical and health sciences, Theoretical computer science, 0302 clinical medicine, Resting-State fMRI, Health Sciences, Synchronization (alternating current), Connectome, FOS: Mathematics, Biology, Persistent Homology, Topology (electrical circuits), Life Sciences, Computer science, Graph theory, Topological Data Analysis in Science and Engineering, Diffusion Magnetic Resonance Imaging, Environmental health, Computational Theory and Mathematics, Combinatorics, Computer Science, Physical Sciences, Medicine, Resting state fMRI, Mathematics, RC321-571, Research Article, Neuroscience, Human Connectome Project

Access URL: https://pubmed.ncbi.nlm.nih.gov/37339281
https://doaj.org/article/996a38293aa64be1872d54212e074a1c

Rigidity properties of the hypercube via Bakry–Émery curvature

Authors: Shiping Liu Florentin Münch Norbert Peyerimhoff

Source: Mathematische Annalen, 2022 [Peer Reviewed Journal]

Subject Terms: Mathematics - Differential Geometry, Spatial Point Patterns in Science, 53C24, 05C35, 35K05, Mathematical proof, Geometry, Structural engineering, Quantum mechanics, 01 natural sciences, Graph, Engineering, FOS: Mathematics, 0101 mathematics, Eigenvalues and eigenvectors, Shape Analysis, Curvature, Applied Mathematics, Physics, Pure mathematics, Optimal Transport in Geometry and Analysis, Hypercube, Topological Data Analysis in Science and Engineering, Computational Theory and Mathematics, Rigidity (electromagnetism), Differential Geometry (math.DG), Combinatorics, Physical Sciences, Computer Science, Mathematics

File Description: application/pdf

Access URL: http://arxiv.org/abs/1705.06789
http://dro.dur.ac.uk/37849/
https://doi.org/10.1007/s00208-022-02537-y
http://dro.dur.ac.uk/37849/1/37849.pdf

Compatibility of partitions with trees, hierarchies, and split systems

Authors: Marc Hellmuth David Schaller Peter F. Stadler

Source: Discrete Applied Mathematics. 314:265-283

Subject Terms: 101028 Mathematical modelling, FOS: Computer and information sciences, Discrete Mathematics (cs.DM), Compatibility (geochemistry), Computer Networks and Communications, Distributed Constraint Optimization Problems and Algorithms, 0211 other engineering and technologies, 0102 computer and information sciences, 02 engineering and technology, Compatibility, 01 natural sciences, NUMBER, 106005 Bioinformatik, Hierarchy, FOS: Mathematics, Mathematics - Combinatorics, Spatial Reasoning, Geology, Partition (number theory), FOS: Earth and related environmental sciences, Discrete mathematics, Split system, Topological Data Analysis in Science and Engineering, Geochemistry, Recognition algorithm, Computational Theory and Mathematics, Combinatorics, Computer Science, Physical Sciences, 101028 Mathematische Modellierung, Fitch map, Combinatorics (math.CO), 106005 Bioinformatics, Mathematics, Phylogenetic tree, Partition, Computer Science - Discrete Mathematics

Access URL: http://arxiv.org/abs/2104.14146
https://ucrisportal.univie.ac.at/de/publications/42ccf78d-c495-4ba2-a871-fd76d225414a
https://doi.org/10.1016/j.dam.2022.03.014

Exploring topological data analysis for information extraction: application to recognition of Arabic machine-printed numerals

Authors: Djamel Bouchaffra Fayçal Ykhlef

Source: Journal of Engineering and Applied Science, Vol 71, Iss 1, Pp 1-27 (2024)

Subject Terms: Data Analysis, Arabic machine-printed numeral recognition, Artificial intelligence, Information extraction, Topological data analysis, 02 engineering and technology, Pattern recognition (psychology), Topology, 01 natural sciences, 7. Clean energy, Statistical Topology, Arabic numerals, Betti number, Barcode filtration, Connected Component Labeling Algorithms, Chaincode representation, FOS: Mathematics, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics, Topology (electrical circuits), Shape Analysis, Topological Methods, Invariant (physics), Discrete mathematics, 15. Life on land, Dynamic-time warping, Engineering (General). Civil engineering (General), Computer science, Numeral system, Algorithm, Topological Data Analysis in Science and Engineering, Computational Theory and Mathematics, Combinatorics, Mathematical physics, Computer Science, Physical Sciences, Computer Vision and Pattern Recognition, TA1-2040, Mathematics

Access URL: https://doaj.org/article/4ab11352a1f1403bab2a71401224badb

Neighborhood hypergraph model for topological data analysis

Authors: Jian Liu Dong Chen Jingyan Li et al.

Source: Computational and Mathematical Biophysics, Vol 10, Iss 1, Pp 262-280 (2022)

Subject Terms: Graph Visualization, QC1-999, hypergraph, 0102 computer and information sciences, 92e10, neighborhood hypergraph, 01 natural sciences, 7. Clean energy, Graph, Statistical Topology, Biochemistry, Genetics and Molecular Biology, FOS: Mathematics, Persistent homology, 0101 mathematics, Molecular Biology, Persistent Homology, neighborhood complex, Physics, Topological Methods, Life Sciences, Discrete mathematics, persistent homology, Analysis of Gene Interaction Networks, Vertex (graph theory), Algorithm, 55n31, Parameterized complexity, Topological Data Analysis in Science and Engineering, Computational Theory and Mathematics, Information Visualization and Visual Data Mining, Combinatorics, Hypergraph, geometric graphs, Computer Science, Physical Sciences, 05c65, Computer Vision and Pattern Recognition, TP248.13-248.65, Mathematics, Biotechnology

Access URL: https://doaj.org/article/c3b4c1b7154149e3b742fc066c7325a8

Expressions for Mostar and weighted Mostar invariants in a chemical structure

Authors: Sathish Krishnan Bharati Rajan Muhammad Imran

Source: Main Group Metal Chemistry, Vol 45, Iss 1, Pp 265-271 (2022)

Subject Terms: 01 natural sciences, Graph, Context (archaeology), Theoretical computer science, mostar, 0103 physical sciences, FOS: Mathematics, distance, QD1-999, Biology, Shape Analysis, weighted mostar invariants, Graph Spectra and Topological Indices, Paleontology, 16. Peace & justice, molecular graph, Computer science, 0104 chemical sciences, Chemistry, Topological Data Analysis in Science and Engineering, Computational Theory and Mathematics, Computer Science, Physical Sciences, Geometry and Topology, Mathematics, Computational Methods in Drug Discovery

Access URL: https://doaj.org/article/ef1aa65c4fe24d90b5d4f2a733326ba9

$ k $-domination and total $ k $-domination numbers in catacondensed hexagonal systems

Authors: Sergio Bermudo Robinson A. Higuita Juan Rada

Source: Mathematical Biosciences and Engineering, Vol 19, Iss 7, Pp 7138-7155 (2022)

Subject Terms: hexagonal systems, Constraint Satisfaction Problems, Domination analysis, 0102 computer and information sciences, Mathematical analysis, 01 natural sciences, Graph, Upper and lower bounds, Value (mathematics), 0103 physical sciences, QA1-939, FOS: Mathematics, domination, catacondensed hexagonal systems, Crystallography, Hexagonal crystal system, Graph Spectra and Topological Indices, Statistics, k-domination, Vertex (graph theory), Chemistry, Topological Data Analysis in Science and Engineering, Computational Theory and Mathematics, Combinatorics, Physical Sciences, Computer Science, Geometry and Topology, TP248.13-248.65, Mathematics, Biotechnology, Graph Theory and Algorithms

Access URL: https://pubmed.ncbi.nlm.nih.gov/35730300
https://doaj.org/article/6f20c38a6a98424399bd24f84fe541ff

Computation of edge- and vertex-degree-based topological indices for tetrahedral sheets of clay minerals

Authors: Al-Nashri Al-Hossain Ahmad Ali Hasan Ahmad Muhammad Azeem

Source: Main Group Metal Chemistry, Vol 45, Iss 1, Pp 26-34 (2022)

Subject Terms: Tetrahedron, Organic chemistry, 01 natural sciences, Graph, vertex-edge-degree, FOS: Mathematics, 0101 mathematics, Degree (music), QD1-999, Mineral, Topology (electrical circuits), Shape Analysis, Crystallography, Physics, Graph Spectra and Topological Indices, Acoustics, edge-vertex-degree, complex chemical networks, Mineralogy, Vertex (graph theory), 0104 chemical sciences, Clay minerals, Algorithm, tetrahedral sheets of clay minerals, Chemistry, Topological Data Analysis in Science and Engineering, Computational Theory and Mathematics, Combinatorics, Physical Sciences, Computer Science, Computation, Geometry and Topology, Mathematics, topological descriptors, Computational Methods in Drug Discovery

Access URL: https://doaj.org/article/7abaac7f10ca4834bf53d87afb412f31

From combinatorial maps to correlation functions in loop models

Authors: Grans-Samuelsson, Linnea Jacobsen, Jesper Lykke Nivesvivat, Rongvoram et al.

Contributors: Grans-Samuelsson, Linnea Jacobsen, Jesper Lykke Nivesvivat, Rongvoram et al.

Source: SciPost Physics, Vol 15, Iss 4, p 147 (2023)

Subject Terms: High Energy Physics - Theory, Artificial intelligence, QC1-999, FOS: Physical sciences, 01 natural sciences, [PHYS] Physics [physics], Statistical Topology, Phase Transitions and Critical Phenomena, 0103 physical sciences, FOS: Mathematics, Mathematics - Combinatorics, Conjecture, 0101 mathematics, Mathematical Physics, Physics, Mathematical Physics (math-ph), Condensed Matter Physics, Computer science, Algorithm, Topological Data Analysis in Science and Engineering, Computational Theory and Mathematics, Physics and Astronomy, High Energy Physics - Theory (hep-th), Combinatorics, Computer Science, Physical Sciences, Dynamical Systems and Chaos Theory, Combinatorics (math.CO), Mathematics

File Description: application/pdf

Access URL: http://arxiv.org/abs/2302.08168
https://doaj.org/article/b3ac9b3bc9d14e46bb42f28dd74d3b51
https://cea.hal.science/cea-04405051v1
https://doi.org/10.21468/scipostphys.15.4.147
https://cea.hal.science/cea-04405051v1/document

The Degree-Based Topological Indices for Two Special Families of Graphs of Diameter Three

Authors: Alkhelaifi Khalid Nasreen Kausar Mohammad Munir et al.

Source: Advances in Mathematical Physics, Vol 2021 (2021)

Subject Terms: Physics, QC1-999, Graph Spectra and Topological Indices, Topological Methods, 02 engineering and technology, Topological Indices, 01 natural sciences, Graph, Statistical Topology, Topological Data Analysis in Science and Engineering, Computational Theory and Mathematics, Combinatorics, Physical Sciences, Computer Science, FOS: Mathematics, Geometry and Topology, 0101 mathematics, 0210 nano-technology, Mathematics, Computational Methods in Drug Discovery

File Description: text/xhtml

Access URL: https://downloads.hindawi.com/journals/amp/2021/4051026.pdf
https://doaj.org/article/d6ef6c5b1db6466a969cd4bffcae6303
https://avesis.yildiz.edu.tr/publication/details/64c6f507-6543-4fa8-bc66-1b2dc525cc77/oai

On the Inverse Problem for Some Topological Indices

Authors: Durbar Maji Ganesh Ghorai Muhammad Khalid Mahmood et al.

Source: Journal of Mathematics, Vol 2021 (2021)

Subject Terms: Graph Spectra and Topological Indices, Geometry, 0102 computer and information sciences, 02 engineering and technology, Discrete mathematics, Topological Indices, Computer science, 01 natural sciences, Graph, Statistical Topology, World Wide Web, Topological Data Analysis in Science and Engineering, Computational Theory and Mathematics, Combinatorics, Physical Sciences, Computer Science, QA1-939, FOS: Mathematics, 0202 electrical engineering, electronic engineering, information engineering, Geometry and Topology, Inverse, Topological index, Mathematics, Computational Methods in Drug Discovery, Index (typography)

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Access URL: https://downloads.hindawi.com/journals/jmath/2021/9411696.pdf
https://doaj.org/article/4431343dc22e4e4498612a70dfe7bec5
http://downloads.hindawi.com/journals/jmath/2021/9411696.pdf
https://www.hindawi.com/journals/jmath/2021/9411696/

Computing the Hosoya Polynomial of M-th Level Wheel and Its Subdivision Graph

Authors: Peng Xu Muhammad Numan Aamra Nawaz et al.

Source: Journal of Chemistry, Vol 2021 (2021)

Subject Terms: History, Graph Spectra and Topological Indices, Polynomial, Mathematical analysis, 01 natural sciences, Graph, Statistical Topology, 0104 chemical sciences, Wiener index, Chemistry, Topological Data Analysis in Science and Engineering, Computational Theory and Mathematics, Archaeology, Combinatorics, Physical Sciences, Computer Science, FOS: Mathematics, Subdivision, Geometry and Topology, QD1-999, Topological index, Mathematics, Computational Methods in Drug Discovery

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Access URL: https://downloads.hindawi.com/journals/jchem/2021/1078792.pdf
https://doaj.org/article/ee83399f277942b3b82cd986c58b52ed
https://downloads.hindawi.com/journals/jchem/2021/1078792.pdf
http://downloads.hindawi.com/journals/jchem/2021/1078792.pdf
https://www.hindawi.com/journals/jchem/2021/1078792/