Irina Gelbukh

Publications

Approximation of Metric Spaces by Reeb Graphs: Cycle Rank of a Reeb Graph, the Co-rank of the Fundamental Group, and Large Components of Level Sets on Riemannian Manifolds

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A (corrected) sufficient condition for the Hausdorffness of a Reeb space

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Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry

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Explainable AI-driven analysis of radiology reports using text and image data: An experimental study (Preprint)

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JMIR Formative Research

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Topological dimension of a Reeb graph and a Reeb space

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Topology and its Applications

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A Large Language Model-Based Approach for Multilingual Hate Speech Detection on Social Media

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Computers

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A Large Language Model-Based Approach for Multilingual Hate Speech Detection on Social Media

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Computers

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Realization of a digraph as the Reeb graph of a Morse–Bott function on a given surface

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Topology and its Applications

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Reeb Graphs of Morse–Bott Functions on a Given Surface

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Bulletin of the Iranian Mathematical Society

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On the topology of the Reeb graph

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Publicationes Mathematicae Debrecen

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Realization of a graph as the Reeb graph of a height function on an embedded surface

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Topological Methods in Nonlinear Analysis

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Reeb graphs of circle-valued functions: A survey and basic facts

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Topological Methods in Nonlinear Analysis

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Criterion for a graph to admit a good orientation in terms of leaf blocks

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Monatshefte für Mathematik

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Realization of a Graph as the Reeb Graph of a Morse–Bott or a Round Function

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Studia Scientiarum Mathematicarum Hungarica

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Realization of a Graph as the Reeb Graph of a Morse–Bott or a Round Function

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Studia Scientiarum Mathematicarum Hungarica

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Morse-Bott Functions with Two Critical Values on a Surface

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Czechoslovak Mathematical Journal

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A FINITE GRAPH IS HOMEOMORPHIC TO THE REEB GRAPH OF A MORSE-BOTT FUNCTION

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Mathematica Slovaca

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Approximation of metric spaces by Reeb graphs: Cycle rank of a Reeb graph, the co-rank of the fundamental group, and large components of level sets on Riemannian manifolds

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Filomat

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Compact and locally dense leaves of a closed one-form foliation

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Journal of Mathematical Analysis and Applications

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Loops in Reeb Graphs of n-Manifolds

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Discrete and Computational Geometry

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Compact and locally dense leaves of a closed one-form foliation

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Journal of Mathematical Analysis and Applications

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Loops in Reeb Graphs of n-Manifolds

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Discrete and Computational Geometry

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The co-rank of the fundamental group: The direct product, the first Betti number, and the topology of foliations

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Mathematica Slovaca

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Loops in Reeb Graphs of n-Manifolds

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Discrete and Computational Geometry

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THE CO-RANK OF THE FUNDAMENTAL GROUP: THE DIRECT PRODUCT, THE FIRST BETTI NUMBER, AND THE TOPOLOGY OF FOLIATIONS

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Mathematica Slovaca

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Isotropy index for the connected sum and the direct product of manifolds

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Publicationes Mathematicae

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Isotropy index for the connected sum and the direct product of manifolds

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Publicationes Mathematicae

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Sufficient conditions for the compactifiability of a closed one-form foliation

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Turkish Journal of Mathematics

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Sufficient conditions for the compactifiability of a closed one-form foliation

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Turkish Journal of Mathematics

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Co-rank and Betti number of a group

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Czechoslovak Mathematical Journal

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Close cohomologous Morse forms with compact leaves

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Czechoslovak Mathematical Journal

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Close cohomologous Morse forms with compact leaves

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Czechoslovak Mathematical Journal

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THE NUMBER OF MINIMAL COMPONENTS AND HOMOLOGICALLY INDEPENDENT COMPACT LEAVES OF A WEAKLY GENERIC MORSE FORM ON A CLOSED SURFACE

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Rocky Mountain Journal of Mathematics

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The number of minimal components and homologically independent compact leaves of a weakly generic Morse form on a closed surface

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Rocky Mountain Journal of Mathematics

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The number of split points of a Morse form and the structure of its foliation

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Mathematica Slovaca

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The number of split points of a Morse form and the structure of its foliation

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Mathematica Slovaca

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Structure of a Morse form foliation on a closed surface in terms of genus

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Differential Geometry and Its Applications

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Structure of a Morse form foliation on a closed surface in terms of genus

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Differential Geometry and its Applications

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ON COLLINEAR CLOSED ONE-FORMS

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Bulletin of the Australian Mathematical Society

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ON COLLINEAR CLOSED ONE-FORMS

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Bulletin of the Australian Mathematical Society

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On compact leaves of a Morse form foliation

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Publicationes Mathematicae-Debrecen

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On compact leaves of a Morse form foliation

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Publicationes Mathematicae Debrecen

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Ranks of collinear Morse forms

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Journal of Geometry and Physics

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Ranks of collinear Morse forms

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Journal of Geometry and Physics

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Number of minimal components and homologically independent compact leaves for a morse form foliation

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Studia Scientiarum Mathematicarum Hungarica

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On the structure of a Morse form foliation

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Czechoslovak Mathematical Journal

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NUMBER OF MINIMAL COMPONENTS AND HOMOLOGICALLY INDEPENDENT COMPACT LEAVES FOR A MORSE FORM FOLIATION

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Studia Scientiarum Mathematicarum Hungarica

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On the structure of a Morse form foliation

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Czechoslovak Mathematical Journal

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Presence of minimal components in a Morse form foliation

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Differential Geometry and Its Applications

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Presence of minimal components in a Morse form foliation

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Differential Geometry and its Applications

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Maximal isotropic subspaces of a skewsymmetric bilinear mapping

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Vestnik Moskovskogo Universiteta. Ser. 1 Matematika Mekhanika

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Noncompact leaves of foliations of morse forms

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Mathematical Notes

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Noncompact leaves of foliations of Morse forms

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Mathematical Notes

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Noncompact leaves of foliations of Morse forms

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Mathematical Notes

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Properties of Morse forms that determine compact foliations on M-g(2)

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Mathematical Notes

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Properties of Morse forms that determine compact foliations onM g 2

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Mathematical Notes

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Properties of morse forms that determine compact foliations on Mg2

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Mathematical Notes

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Singularities of the Morse form and foliations

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Vestnik Moskovskogo Universiteta Seriya 1 Matematika Mekhanika

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Singularities of the Morse form and foliations

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Vestnik Moskovskogo Universiteta. Ser. 1 Matematika Mekhanika

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A test for non-compactness of the foliation of a Morse form

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Russian Mathematical Surveys

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A test for compactness of a foliation

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Mathematical Notes

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A test for compactness of a foliation

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Mathematical Notes

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A test for non-compactness of the foliation of a Morse form

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Russian Mathematical Surveys

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AN INDICATOR OF THE NONCOMPACTNESS OF A FOLIATION ON MG2

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Mathematical Notes

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An indicator of the noncompactness of a foliation on Mg 2

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Mathematical Notes

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