Georg Grasegger

Constructing reflection-symmetric flexible realisations of graphs. / Dewar, Sean; Grasegger, Georg; Legerský, Jan.
in: Ars Mathematica Contemporanea, 18.11.2025.
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On the uniqueness of collections of pennies and marbles. / Dewar, Sean; Grasegger, Georg; Kubjas, Kaie et al.
in: Examples and Counterexamples, Jahrgang 7, 100181, 06.2025, S. 100181.
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Single-cell 3D genome reconstruction in the haploid setting using rigidity theory. / Dewar, Sean; Grasegger, Georg; Kubjas, Kaie et al.
in: Journal of Mathematical Biology, Jahrgang 90, Nr. 4, 45, 04.2025, S. 45.
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The number of realisations of a rigid graph in Euclidean and spherical geometries. / Dewar, Sean; Grasegger, Georg.
in: Algebraic Combinatorics, Jahrgang 7, Nr. 6, 31.12.2024, S. 1615-1645.
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Quotient graphs of symmetrically rigid frameworks. / Dewar, Sean; Grasegger, Georg; Kastis, Eleftherios et al.
in: Documenta Mathematica, Jahrgang 29, Nr. 3, 08.05.2024, S. 561-595.
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Flexibility and rigidity of frameworks consisting of triangles and parallelograms. / Grasegger, Georg; Legerský, Jan.
in: Computational Geometry: Theory and Applications, Jahrgang 120, 19.02.2024, S. 102055.
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Coupler curves of moving graphs and counting realizations of rigid graphs. / Grasegger, Georg; Hilany, El; Lubbes, Niels.
in: Mathematics of Computation, Jahrgang 93, 01.01.2024, S. 459-504.
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Graph Rigidity Properties of Ramanujan Graphs. / Cioabă, Sebastian M; Dewar, Sean; Grasegger, Georg et al.
in: Electronic Journal of Combinatorics, Jahrgang 30, Nr. 3, 28.07.2023, S. P3.12.
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Minimal counterexamples to Hendrickson's conjecture on globally rigid graphs. / Grasegger, Georg.
in: Examples and Counterexamples, Jahrgang 3, 06.04.2023, S. 100106.
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Bracing frameworks consisting of parallelograms. / Grasegger, Georg; Legerský, Jan.
in: Art of Discrete and Applied Mathematics, Jahrgang 5, Nr. 2, 11.05.2022, S. P2.03:1-21.
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Flexible circuits in the d-dimensional rigidity matroid. / Grasegger, Georg; Guler, Hakan; Jackson, Bill et al.
in: Journal of Graph Theory, Jahrgang 100, Nr. 2, 08.04.2022, S. 315-330.
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Zero-sum cycles in flexible polyhedra. / Gallet, Matteo; Grasegger, Georg; Legerský, Jan et al.
in: Bulletin of the London Mathematical Society, Jahrgang 54, Nr. 1, 04.03.2022, S. 112-125.
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On the existence of paradoxical motions of generically rigid graphs on the sphere. / Gallet, Matteo; Grasegger, Georg; Legerský, Jan et al.
in: SIAM Journal on Discrete Mathematics, Jahrgang 35, Nr. 1, 12.03.2021, S. 325-361.
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Combinatorics of Bricard's octahedra. / Gallet, Matteo; Grasegger, Georg; Legerský, Jan et al.
in: Comptes Rendus Mathematique, Jahrgang 359, Nr. 1, 02.03.2021, S. 7-38.
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On the Classification of Motions of Paradoxically Movable Graphs. / Grasegger, Georg; Legerský, Jan; Schicho, Josef.
in: Journal of Computational Geometry, Jahrgang 11, Nr. 1, 15.12.2020, S. 548-575.
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Graphs with Flexible Labelings allowing Injective Realizations. / Grasegger, Georg; Legerský, Jan; Schicho, Josef.
in: Discrete Mathematics, Jahrgang 343, Nr. 6, 01.06.2020, S. 1-14.
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Lower bounds on the number of realizations of rigid graphs. / Grasegger, Georg; Koutschan, Christoph; Tsigaridas, Elias.
in: Experimental Mathematics, Jahrgang 29, Nr. 2, 20.05.2020, S. 125-136.
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Counting realizations of Laman graphs on the sphere. / Gallet, Matteo; Grasegger, Georg; Schicho, Josef.
in: Electronic Journal of Combinatorics, Jahrgang 27, Nr. 2, 03.04.2020, S. P2.5 (1-18).
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Graphs with Flexible Labelings. / Grasegger, Georg; Legerský, Jan; Schicho, Josef.
in: Discrete and Computational Geometry, Jahrgang 62, Nr. 2, 05.08.2019, S. 461-480.
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Computation of all rational solutions of first-order algebraic ODEs. / Vo, Thieu N; Grasegger, Georg; Winkler, Franz.
in: Advances in Applied Mathematics, Jahrgang 98, 01.07.2018, S. 1-24.
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Deciding the existence of rational general solutions for first-order algebraic ODEs. / Vo, Thieu N; Grasegger, Georg; Winkler, Franz.
in: Journal of Symbolic Computation, Jahrgang 87, 01.07.2018, S. 127-139.
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Rational General Solutions of Systems of First-Order Partial Differential Equations. / Grasegger, Georg; Lastra, Alberto; Sendra, J Rafael et al.
in: Journal of Computational and Applied Mathematics, Nr. 331, 15.03.2018, S. 88-103.
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The number of realizations of a Laman graph. / Capco, Jose; Gallet, Matteo; Grasegger, Georg et al.
in: SIAM Journal on Applied Algebra and Geometry, Jahrgang 2, Nr. 1, 06.03.2018, S. 94-125.
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Computing the number of realizations of a Laman graph. / Capco, Jose; Gallet, Matteo; Grasegger, Georg et al.
in: Electronic Notes in Discrete Mathematics, Jahrgang 61, 03.08.2017, S. 207-213.
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A solution method for autonomous first-order algebraic partial differential equations. / Grasegger, Georg; Lastra, Alberto; Sendra, J Rafael et al.
in: Journal of Computational and Applied Mathematics, Jahrgang 300, 18.01.2016, S. 119--133.
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Pentagonal bipyramids lead to the smallest flexible embedded polyhedron. / Gallet, Matteo; Grasegger, Georg; Legerský, Jan et al.
2024.
DOI RIS ENW BIB
Constructing reflection-symmetric flexible realisations of graphs. / Dewar, Sean; Grasegger, Georg; Legerský, Jan.
2024.
DOI RIS ENW BIB
Single-cell 3D genome reconstruction in the haploid setting using rigidity theory. / Dewar, Sean; Grasegger, Georg; Kubjas, Kaie et al.
2024.
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Angular constraints on planar frameworks. / Dewar, Sean; Grasegger, Georg; Nixon, Anthony et al.
2024.
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Rigidity of nearly planar classes of graphs. / Dewar, Sean; Grasegger, Georg; Kastis, Eleftherios et al.
2024.
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Rigidity of nearly planar classes of graphs. / Dewar, Sean; Grasegger, Georg; Kastis, Eleftherios et al.
2024.
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The number of realisations of a rigid graph in Euclidean and spherical geometries. / Dewar, Sean; Grasegger, Georg.
2023.
DOI RIS ENW BIB
Calligraphs and sphere realizations. / Gallet, Matteo; Grasegger, Georg; Lubbes, Niels et al.
2023.
DOI RIS ENW BIB
On the uniqueness of collections of pennies and marbles. / Dewar, Sean; Grasegger, Georg; Kubjas, Kaie et al.
2023.
DOI RIS ENW BIB
Flexibility and rigidity of frameworks consisting of triangles and parallelograms. / Grasegger, Georg; Legerský, Jan.
2023.
DOI RIS ENW BIB
Minimal counterexamples to Hendrickson's conjecture on globally rigid graphs. / Grasegger, Georg.
2022.
DOI RIS ENW BIB
Graph rigidity properties of Ramanujan graphs. / Cioabă, Sebastian M; Dewar, Sean; Grasegger, Georg et al.
2022.
DOI Download RIS ENW BIB
Coupler curves of moving graphs and counting realizations of rigid graphs. / Grasegger, Georg; Hilany, El; Lubbes, Niels.
2022.
DOI Download RIS ENW BIB
Quotient graphs of symmetrically rigid frameworks. / Dewar, Sean; Grasegger, Georg; Kastis, Eleftherios et al.
2022.
DOI Download RIS ENW BIB
Zero-sum cycles in flexible non-triangular polyhedra. / Gallet, Matteo; Grasegger, Georg; Legerský, Jan et al.
2021.
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Zero-sum cycles in flexible polyhedra. / Gallet, Matteo; Grasegger, Georg; Legerský, Jan et al.
2020.
Download RIS ENW BIB
Bracing frameworks consisting of parallelograms. / Grasegger, Georg; Legerský, Jan.
2020.
Download RIS ENW BIB
Combinatorics of Bricard's octahedra. / Gallet, Matteo; Grasegger, Georg; Legerský, Jan et al.
2020.
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FlexRiLoG -- A SageMath Package for Motions of Graphs. / Grasegger, Georg; Legerský, Jan.
2020.
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On the Classification of Motions of Paradoxically Movable Graphs. / Grasegger, Georg; Legerský, Jan; Schicho, Josef.
2020.
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Flexible placements of graphs with rotational symmetry. / Dewar, Sean; Grasegger, Georg; Legerský, Jan.
2020.
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Flexible circuits in the d-dimensional rigidity matroid. / Grasegger, Georg; Guler, Hakan; Jackson, Bill et al.
2020.
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Classification of motions of the 3-connected Harary graph on 7 vertices. / Grasegger, Georg; Legerský, Jan; Schicho, Josef.
2019. 17 S.
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On the existence of paradoxical motions of generically rigid graphs on the sphere. / Gallet, Matteo; Grasegger, Georg; Legerský, Jan et al.
2019.
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Counting realizations of Laman graphs on the sphere. / Gallet, Matteo; Grasegger, Georg; Schicho, Josef.
2019.
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Graphs with Flexible Labelings allowing Injective Realizations. / Grasegger, Georg; Legerský, Jan; Schicho, Josef.
2018.
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Lower bounds on the number of realizations of rigid graphs. / Grasegger, Georg; Koutschan, Christoph; Tsigaridas, Elias.
Linz, 2017. 22 S.
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Graphs with Flexible Labelings. / Grasegger, Georg; Legersky, Jan; Schicho, Josef.
2017.
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The number of realizations of a Laman graph. / Capco, Jose; Gallet, Matteo; Grasegger, Georg et al.
Linz, 2017. 42 S.
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An Algebraic-Geometric Method for Computing Zolotarev Polynomials — Additional Information. / Grasegger, Georg.
2016.
Website RIS ENW BIB
An Algebraic-Geometric Method for Computing Zolotarev Polynomials. / Grasegger, Georg; Vo, Thieu N.
2016.
Website RIS ENW BIB
Statistical Investigation of First-Order Algebraic ODEs and their Rational General Solutions. / Grasegger, Georg; Vo, Thieu N; Winkler, Franz.
2015.
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People

Georg Grasegger

Georg Grasegger

Research interests

Publications

Dataset of minimally d-rigid graphs

Dataset of minimally d-rigid graphs obtained from 0-extensions

Dataset of realisation numbers of rigid graphs in dimension 2

Non-planar graphs with various apex properties

Non-planar apex graphs with different independence properties

Non-planar (3,6)-sparse graphs with various apex properties

Dataset of (3,6)-tight graphs

Circuits in the 3-dimensional rigidity matroid

Marble graphs with various rigidity properties

Dataset of redundantly rigid graphs

Dataset of globally rigid graphs

Ramanujan graphs with degree 3, 4, 5, 6, or 7

Rigidity of 4-regular Ramanujan graphs

The number of realizations of all Laman graphs with at most 12 vertices

RICAM

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