Irina Gelbukh

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

journal-article

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

Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry

Jan 2025

journal-article

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

JMIR Formative Research

Jan 2025

journal-article

Topological dimension of a Reeb graph and a Reeb space

Topology and its Applications

Jan 2025

journal-article

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

Computers

Jan 2025

journal-article

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

Computers

Jan 2025

journal-article

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

Topology and its Applications

Jan 2024

journal-article

Reeb Graphs of Morse–Bott Functions on a Given Surface

Bulletin of the Iranian Mathematical Society

Jan 2024

journal-article

On the topology of the Reeb graph

Publicationes Mathematicae Debrecen

Jan 2024

journal-article

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

Topological Methods in Nonlinear Analysis

Jan 2023

journal-article

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

Topological Methods in Nonlinear Analysis

Jan 2023

journal-article

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

Monatshefte für Mathematik

Jan 2022

journal-article

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

Studia Scientiarum Mathematicarum Hungarica

Jan 2022

journal-article

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

Studia Scientiarum Mathematicarum Hungarica

Jan 2022

journal-article

Morse-Bott Functions with Two Critical Values on a Surface

Czechoslovak Mathematical Journal

Jan 2021

journal-article

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

Mathematica Slovaca

Jan 2021

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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

Filomat

Jan 2019

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

Journal of Mathematical Analysis and Applications

Jan 2018

journal-article

Loops in Reeb Graphs of n-Manifolds

Discrete and Computational Geometry

Jan 2018

journal-article

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

Journal of Mathematical Analysis and Applications

Jan 2018

journal-article

Loops in Reeb Graphs of n-Manifolds

Discrete and Computational Geometry

Jan 2018

journal-article

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

Mathematica Slovaca

Jan 2017

journal-article

Loops in Reeb Graphs of n-Manifolds

Discrete and Computational Geometry

Jan 2017

journal-article

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

Mathematica Slovaca

Jan 2017

journal-article

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

Publicationes Mathematicae

Jan 2017

journal-article

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

Publicationes Mathematicae

Jan 2017

journal-article

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

Turkish Journal of Mathematics

Jan 2017

journal-article

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

Turkish Journal of Mathematics

Jan 2017

journal-article

Co-rank and Betti number of a group

Czechoslovak Mathematical Journal

Jan 2015

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Close cohomologous Morse forms with compact leaves

Czechoslovak Mathematical Journal

Jan 2013

journal-article

Close cohomologous Morse forms with compact leaves

Czechoslovak Mathematical Journal

Jan 2013

journal-article

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

Rocky Mountain Journal of Mathematics

Jan 2013

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

Rocky Mountain Journal of Mathematics

Jan 2013

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

Mathematica Slovaca

Jan 2013

journal-article

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

Mathematica Slovaca

Jan 2013

journal-article

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

Differential Geometry and Its Applications

Jan 2011

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

Differential Geometry and its Applications

Jan 2011

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ON COLLINEAR CLOSED ONE-FORMS

Bulletin of the Australian Mathematical Society

Jan 2011

journal-article

ON COLLINEAR CLOSED ONE-FORMS

Bulletin of the Australian Mathematical Society

Jan 2011

journal-article

On compact leaves of a Morse form foliation

Publicationes Mathematicae-Debrecen

Jan 2011

journal-article

On compact leaves of a Morse form foliation

Publicationes Mathematicae Debrecen

Jan 2011

journal-article

Ranks of collinear Morse forms

Journal of Geometry and Physics

Jan 2011

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Ranks of collinear Morse forms

Journal of Geometry and Physics

Jan 2011

journal-article

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

Studia Scientiarum Mathematicarum Hungarica

Jan 2009

journal-article

On the structure of a Morse form foliation

Czechoslovak Mathematical Journal

Jan 2009

journal-article

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

Studia Scientiarum Mathematicarum Hungarica

Jan 2009

journal-article

On the structure of a Morse form foliation

Czechoslovak Mathematical Journal

Jan 2009

journal-article

Presence of minimal components in a Morse form foliation

Differential Geometry and Its Applications

Jan 2005

journal-article

Presence of minimal components in a Morse form foliation

Differential Geometry and its Applications

Jan 2005

journal-article

Maximal isotropic subspaces of a skewsymmetric bilinear mapping

Vestnik Moskovskogo Universiteta. Ser. 1 Matematika Mekhanika

Jan 1999

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Noncompact leaves of foliations of morse forms

Mathematical Notes

Jan 1998

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Noncompact leaves of foliations of Morse forms

Mathematical Notes

Jan 1998

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Noncompact leaves of foliations of Morse forms

Mathematical Notes

Jan 1998

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

Mathematical Notes

Jan 1996

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Properties of Morse forms that determine compact foliations onM g 2

Mathematical Notes

Jan 1996

journal-article

Properties of morse forms that determine compact foliations on Mg2

Mathematical Notes

Jan 1996

journal-article

Singularities of the Morse form and foliations

Vestnik Moskovskogo Universiteta Seriya 1 Matematika Mekhanika

Jan 1996

journal-article

Singularities of the Morse form and foliations

Vestnik Moskovskogo Universiteta. Ser. 1 Matematika Mekhanika

Jan 1996

journal-article

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

Russian Mathematical Surveys

Jan 1995

journal-article

A test for compactness of a foliation

Mathematical Notes

Jan 1995

journal-article

A test for compactness of a foliation

Mathematical Notes

Jan 1995

journal-article

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

Russian Mathematical Surveys

Jan 1995

journal-article

AN INDICATOR OF THE NONCOMPACTNESS OF A FOLIATION ON MG2

Mathematical Notes

Jan 1993

journal-article

An indicator of the noncompactness of a foliation on Mg 2

Mathematical Notes

Jan 1993

journal-article

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

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

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

Topological dimension of a Reeb graph and a Reeb space

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

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

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

Reeb Graphs of Morse–Bott Functions on a Given Surface

On the topology of the Reeb graph

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

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

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

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

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

Morse-Bott Functions with Two Critical Values on a Surface

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

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

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

Loops in Reeb Graphs of n-Manifolds

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

Loops in Reeb Graphs of n-Manifolds

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

Loops in Reeb Graphs of n-Manifolds

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

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

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

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

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

Co-rank and Betti number of a group

Close cohomologous Morse forms with compact leaves

Close cohomologous Morse forms with compact leaves

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

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

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

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

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

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

ON COLLINEAR CLOSED ONE-FORMS

ON COLLINEAR CLOSED ONE-FORMS

On compact leaves of a Morse form foliation

On compact leaves of a Morse form foliation

Ranks of collinear Morse forms

Ranks of collinear Morse forms

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

On the structure of a Morse form foliation

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

On the structure of a Morse form foliation

Presence of minimal components in a Morse form foliation

Presence of minimal components in a Morse form foliation

Maximal isotropic subspaces of a skewsymmetric bilinear mapping

Noncompact leaves of foliations of morse forms

Noncompact leaves of foliations of Morse forms

Noncompact leaves of foliations of Morse forms

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

Properties of Morse forms that determine compact foliations onM g 2

Properties of morse forms that determine compact foliations on Mg2

Singularities of the Morse form and foliations

Singularities of the Morse form and foliations

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

A test for compactness of a foliation

A test for compactness of a foliation

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

AN INDICATOR OF THE NONCOMPACTNESS OF A FOLIATION ON MG2

An indicator of the noncompactness of a foliation on Mg 2