Cover Image

Homological methods in rigidity theory using graphs of groups

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Vermant, Joannes
Format:	Preprint
Published:	2026
Subjects:	Combinatorics Algebraic Topology 52C25
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Structural rigidity and flexibility using graphs of groups
by: Vermant, Joannes, et al.
Published: (2023)

Noncompact surfaces, triangulations and rigidity
by: Power, Stephen C.
Published: (2024)

Even torsions in the homology group of the Milnor fiber boundary of hyperplane arrangements in $\mathbb{C}^3$
by: Sugawara, Sakumi
Published: (2025)

On Infinity Type Hyperplane Arrangements and Convex Positive Bijections
by: Kumar, C. P. Anil
Published: (2017)

Classifying the globally rigid edge-transitive graphs and distance-regular graphs in the plane
by: Dewar, Sean
Published: (2022)

Highly regular vertex-transitive graphs are globally rigid
by: Saliby, Angelo El
Published: (2026)

Coupler curves of moving graphs and counting realizations of rigid graphs
by: Grasegger, Georg, et al.
Published: (2022)

Mapping fiber, loop and suspension graphs in naive discrete homotopy theory
by: Yamagata, So
Published: (2024)

Minimum degree conditions for graph rigidity
by: Krivelevich, Michael, et al.
Published: (2024)

Minimally rigid tensegrity frameworks
by: Clay, Adam D. W., et al.
Published: (2024)

5-regular graphs and the 3-dimensional rigidity matroid
by: Monks, Rebecca, et al.
Published: (2025)

Elliptic arrangements of complex multiplication type
by: Moci, Luca, et al.
Published: (2025)

Filtrations of Tope Spaces of Oriented Matroids
by: Shaw, Kris, et al.
Published: (2025)

Vertex-Minimal Triangulation of Complexes with Homology
by: Kogan, Jon V.
Published: (2025)

The tropical galaxy of a Laman graph
by: Bielby, Amelia, et al.
Published: (2025)

Realizations of multiassociahedra via rigidity
by: Ruiz, Luis Crespo, et al.
Published: (2022)

Partitions of mass assignments with spheres and wedges
by: Lessure, Deron, et al.
Published: (2025)

Extremal decompositions of tropical varieties and relations with rigidity theory
by: Babaee, Farhad, et al.
Published: (2024)

The $d$-dimensional realisation number of a rigid graph
by: Dewar, Sean, et al.
Published: (2026)

Non-vanishing of homotopy groups of Manin--Schechtman arrangements
by: Saito, Takuya, et al.
Published: (2026)

Lower bounds and integrality gaps in simplicial decomposition
by: Ellison, Matthew
Published: (2024)

The number of realisations of a rigid graph in Euclidean and spherical geometries
by: Dewar, Sean, et al.
Published: (2023)

First homology groups of the Milnor fiber boundary for generic hyperplane arrangements in $\mathbb{C}^{3}$
by: Sugawara, Sakumi
Published: (2024)

Computing the number of realisations of a rigid graph
by: Dewar, Sean, et al.
Published: (2025)

Characterizing globally linked pairs in graphs
by: Jordán, Tibor, et al.
Published: (2026)

Triangular arrangements on the projective plane
by: Marchesi, Simone, et al.
Published: (2019)

Homology and Euler characteristic of generalized anchored configuration spaces of graphs
by: Kozlov, Dmitry N.
Published: (2023)

Magnitude homology of real hyperplane arrangements
by: Koizumi, Junnosuke, et al.
Published: (2026)

$k$-fold circuits and coning in rigidity matroids
by: Hewetson, John, et al.
Published: (2025)

Counting for rigidity under projective transformations in the plane
by: Berman, Leah Wrenn, et al.
Published: (2025)

On the subdirect product of graph bundles
by: Bavuma, Yanga, et al.
Published: (2025)

Three-Dimensional Small Covers and Links
by: Gorchakov, Vladimir
Published: (2024)

A tropical approach to rigidity: counting realisations of frameworks
by: Clarke, Oliver, et al.
Published: (2025)

Hyperbolic links associated to Hamiltonian subgraphs in simple $3$-polytopes
by: Erokhovets, Nikolai
Published: (2025)

Graph rigidity properties of Ramanujan graphs
by: Cioabă, Sebastian M., et al.
Published: (2022)

The rigidity of Doyle circle packings on the infinite hexagonal triangulation
by: Hua, Bobo, et al.
Published: (2024)

Generalised rigid body motions in non-Euclidean planes with applications to global rigidity
by: Dewar, Sean, et al.
Published: (2021)

The homology groups of finite cyclic covering of line arrangement complement
by: Liu, Yongqiang, et al.
Published: (2023)

Helly-type problems from a topological perspective
by: Paták, Pavel, et al.
Published: (2026)

Bisections of mass assignments by parallel hyperplanes
by: Sadovek, Nikola, et al.
Published: (2025)