Topological and entropic characterization of nitrogenated holey graphene [PDF]
Scientific ReportsNitrogenated holey graphene (NHG), a two-dimensional (2D) carbon nanomaterial, demonstrates exceptional electrical, thermal, and chemical characteristics owing to its inherent porosity and nitrogen doping.
S. Prabhu +3 more
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Journal of Function SpacesAlgebraic curves and topological sequences play a crucial role in mathematics and graph theory, serving as a bridge between geometry, algebra, and number theory.
Mohammad Mazyad Hazzazi +4 more
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Quantitative description of internal 3D structure of a geological sample using algebraic topology methods [PDF]
Scientific ReportsDescription of the internal spatial structure and texture of geological objects is an important element in their study. A qualitative description of the internal morphology of samples, despite its clarity and wide applicability, does not have a ...
Mikhail Chernyavskiy +7 more
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GTI-space : the space of generalized topological indices [PDF]
, 2008 A new extension of the generalized topological indices (GTI) approach is carried out torepresent 'simple' and 'composite' topological indices (TIs) in an unified way.
Matamala, A.R. +5 more
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Rational smoothness and affine Schubert varieties of type A [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 The study of Schubert varieties in G/B has led to numerous advances in algebraic combinatorics and algebraic geometry. These varieties are indexed by elements of the corresponding Weyl group, an affine Weyl group, or one of their parabolic quotients ...
Sara Billey, Andrew Crites
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FORMATION OF MODERN MATHEMATICAL APPROACH TO SOLVING PROBLEMS OF PHYSICS
Фізико-математична освіта, 2022 Formulation of the problem. Precision studies of the Higgs boson, supersymmetric particles, the magnetic moment of the muon, electric dipole moment of the electron, flavor anomalies demonstrate the deviation beyond Standard Model. They are connected with
Тетяна Обіход
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Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]
Adv Intell DiscovThis article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Ren Y, Wei GW.
europepmc +2 more sources
Quantization of algebraic invariants through Topological Quantum Field Theories [PDF]
, 2023 In this paper we investigate the problem of constructing Topological Quantum Field Theories (TQFTs) to quantize algebraic invariants. We exhibit necessary conditions for quantizability based on Euler characteristics. In the case of surfaces, also provide
González-Prieto, Ángel +2 more
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A Hodge Theory-Driven Quantum Mapping Between Calabi-Yau Manifolds and Nuclear Topology: First-Principles Derivation and Experimental Verification [PDF]
Physics AccessThis study adopts Hodge theory as a rigorous mathematical framework to construct a quantitative mapping system between the high-dimensional topological invariants of CalabiYau (CY) manifolds and nuclear physics parameters, thereby establishing a strict ...
Yang Ou, Wenming Sun
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Universality in protein residue networks [PDF]
, 2010 Residue networks representing 595 nonhomologous proteins are studied. These networks exhibit universal topological characteristics as they belong to the topological class of modular networks formed by several highly interconnected clusters separated by ...
Estrada, Ernesto +3 more
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