On the zagreb polynomials of benzenoid systems by Chel Kwun Young, Zahid Manzoor Ahmad, Nazeer Waqas, Ali Ashaq, Ahmad Maqbool, Kang Shin Min

“…Algebraic polynomials help to compute topological indices of studied chemical compounds. …”
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Decorated TQFTs and their Hilbert spaces by Mrunmay Jagadale

“…Abstract We discuss topological quantum field theories that compute topological invariants which depend on additional structures (or decorations) on three-manifolds. …”
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On Topological Properties of Symmetric Chemical Structures by Muhammad Imran, Muhammad Kamran Siddiqui, Muhammad Naeem, Muhammad Azhar Iqbal

“…Moreover, we have computed topological indices, namely general Randić Zagreb types indices, geometric arithmetic index, atom–bond connectivity index, fourth atom–bond connectivity and fifth geometric arithmetic index of S i 2 C 3 -I and S i 2 C 3 - I I .…”
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Topological Study on Triazine-Based Covalent-Organic Frameworks by Tony Augustine, Santiago Roy

“…A detailed comparison of the computed topological indices of the aforementioned chemical structures is described using graphical depiction.…”
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Towards Automated Data-Driven Model Creation for Cloud Computing Simulation by Sergej Svorobej, James Byrne, Paul Liston, PJ Byrne, Christian Stier, Henning Groenda, Zafeirios Papazachos, Dimitrios Nikolopoulos

“…In this research, an automated method for cloud computing topology definition, data collection and model creation activities is presented, within the context of a suite of tools that have been developed and integrated to support these activities.…”
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Symmetry fractionalized (irrationalized) fusion rules and two domain-wall Verlinde formulae by Yu Zhao, Hongyu Wang, Yuting Hu, Yidun Wan

“…Our findings hold promise for applications across various fields, such as topological quantum computation, topological field theory, conformal field theory, and parton physics.…”
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Computably regular topological spaces by Klaus Weihrauch

“…Schr/"oder and the author (2007) are proved under uniform assumptions and with partly simpler proofs, in particular, the theorem that every computably regular computable topological space with non-empty base elements can be embedded into a computable metric space. …”
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Rare-earth based half-Heusler topological quantum materials: A perspective by Ashutosh Kumar Singh, S. D. Ramarao, Sebastian C. Peter

“…Topological insulator (TI) materials which are conductive at the surface but insulating in the bulk have drawn much attention in the past decade due to their fascinating properties and potential application in the field of spintronics, quantum computing, topological superconductivity and next generation electronics. …”
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First-principles study of topological invariants of Weyl points in continuous media by Guilherme R. Fonseca, Filipa R. Prudêncio, Mário G. Silveirinha, Paloma A. Huidobro

“…Here, we present a first-principles method to compute topological invariants of three-dimensional gapless phases. …”
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Analysis of shape grammars: Continuity of rules by Haridis, Alexandros, Stiny, George

“…It is also shown that certain intrinsic properties of shape topologies and continuous mappings provide an effective method of computing topologies algorithmically. </jats:p>…”
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Mathematical aspects and topological properties of two chemical networks by Ali Al Khabyah

“…This paper describes a new technique to compute topological indices of two types of chemical networks. …”
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Topological data analysis distinguishes parameter regimes in the Anderson-Chaplain model of angiogenesis. by John T Nardini, Bernadette J Stolz, Kevin B Flores, Heather A Harrington, Helen M Byrne

“…TDA is a vibrant and relatively new field of computational mathematics for studying the shape of data. We compute topological and standard descriptors of model simulations generated by different parameter values. …”
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Generating functions for intersection products of divisors in resolved F-theory models by Patrick Jefferson, Andrew P. Turner

“…Building on the approach of 1703.00905, we present an efficient algorithm for computing topological intersection numbers of divisors in a broad class of elliptic fibrations with the aid of a symbolic computing tool. …”
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Some Classes of Soft Functions Defined by Soft Open Sets Modulo Soft Sets of the First Category by Zanyar A. Ameen, Mesfer H. Alqahtani

“…Soft continuity can contribute to the development of digital images and computational topological applications other than the field of soft topology. …”
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6D attractors and black hole microstates by Seyed Morteza Hosseini, Kiril Hristov, Achilleas Passias, Alberto Zaffaroni

“…In the case where ℳ4 is a product of Riemann surfaces, we successfully compare their entropy to a microscopic counting based on the recently computed topologically twisted index of the five-dimensional N $$ \mathcal{N} $$ = 1 USp(2N) theory with N f fundamental flavors and an antisymmetric matter field. …”
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From Trees to Barcodes and Back Again: Theoretical and Statistical Perspectives by Lida Kanari, Adélie Garin, Kathryn Hess

“…While there are many powerful techniques for computing topological descriptors, the inverse problem, i.e., recovering the input data from topological descriptors, has proved to be challenging. …”
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Time Series Clustering with Topological and Geometric Mixed Distance by Yunsheng Zhang, Qingzhang Shi, Jiawei Zhu, Jian Peng, Haifeng Li

“…More specifically, persistent homology is employed to extract topological features of time series and to compute topological similarities among persistence diagrams. …”
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Topological Quantum Computing and 3-Manifolds by Torsten Asselmeyer-Maluga

“…In this paper, we will present some ideas to use 3D topology for quantum computing. Topological quantum computing in the usual sense works with an encoding of information as knotted quantum states of topological phases of matter, thus being locked into topology to prevent decay. …”
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The effects of topological features on convolutional neural networks—an explanatory analysis via Grad-CAM by Dongjin Lee, Seong-Heon Lee, Jae-Hun Jung

“…In this paper, we use persistent homology to compute topological features and subsequently demonstrate both qualitatively and quantitatively the effects of topological signatures on a CNN model, for which the Grad-CAM analysis of multimodal networks and topological inverse image map are proposed and appropriately utilized. …”
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A New Approach to Investigate the Association between Brain Functional Connectivity and Disease Characteristics of Attention-Deficit/Hyperactivity Disorder: Topological Neuroimagin... by Sunghyon Kyeong, Seonjeong Park, Keun-Ah Cheon, Jae-Jin Kim, Dong-Ho Song, Eunjoo Kim

“…We investigated the application of a topological data analysis tool, Mapper, to analyze the brain functional connectivity data from ADHD patients.To quantify the disease severity using the neuroimaging data, the decomposition of individual functional networks into normal and disease components by the healthy state model (HSM) was performed, and the magnitude of the disease component (MDC) was computed. Topological data analysis using Mapper was performed to distinguish children with ADHD (n = 196) from typically developing controls (TDC) (n = 214).In the topological data analysis, the partial clustering results of patients with ADHD and normal subjects were shown in a chain-like graph. …”
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