Cover Image

The $d$-dimensional realisation number of a rigid graph

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Dewar, Sean, Nixon, Anthony, Smith, Ben
Format:	Preprint
Published:	2026
Subjects:	Combinatorics Algebraic Geometry Metric Geometry 52C25, 05C10, 68R12, 14C17
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

The number of realisations of a random graph
by: Dewar, Sean, et al.
Published: (2026)

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

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

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

On the uniqueness of collections of pennies and marbles
by: Dewar, Sean, et al.
Published: (2023)

Which graphs are rigid in $\ell_p^d$?
by: Dewar, Sean, et al.
Published: (2020)

Uniquely realisable graphs in polyhedral normed spaces
by: Dewar, Sean
Published: (2025)

Identifying contact graphs of sphere packings with generic radii
by: Dewar, Sean
Published: (2023)

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

Quotient graphs of symmetrically rigid frameworks
by: Dewar, Sean, et al.
Published: (2022)

Uniquely realizable crystalline structures
by: Dewar, Sean, et al.
Published: (2025)

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

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

Computing maximum likelihood thresholds using graph rigidity
by: Bernstein, Daniel Irving, et al.
Published: (2022)

Angular constraints on planar frameworks
by: Dewar, Sean, et al.
Published: (2024)

Dilworth truncations and Hadamard products of linear spaces
by: Antolini, Dario, et al.
Published: (2025)

Flexible placements of periodic graphs in the plane
by: Dewar, Sean
Published: (2019)

Rigidity of Circle Packings with Flexible Radii
by: Connelly, Robert, et al.
Published: (2022)

Edge-length preserving embeddings of graphs between normed spaces
by: Dewar, Sean, et al.
Published: (2024)

Infinitesimal rigidity in normed planes
by: Dewar, Sean
Published: (2018)

Realizations of homology classes and projection areas
by: Huang, Daoji, et al.
Published: (2025)

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

Rigidity of nearly planar classes of graphs
by: Dewar, Sean, et al.
Published: (2024)

On the existence of two affine-equivalent frameworks with prescribed edge lengths in Euclidean $d$-space
by: Alexandrov, Victor
Published: (2023)

Turtles, Hats and Spectres: Aperiodic structures on a Rhombic tiling
by: Smith, James
Published: (2024)

NP-completeness of the $\ell_1$-embedding problem for simple graphs as sphere-of-influence graphs
by: Jabuka, Stanislav
Published: (2025)

Algebraic connectivity in normed spaces
by: Cruickshank, James, et al.
Published: (2025)

Order-2 Delaunay Triangulations Optimize Angles
by: Edelsbrunner, Herbert, et al.
Published: (2023)

The tropical crossing number of a finite graph
by: Cape, Noah, et al.
Published: (2025)

Counting fibres of the Hadamard product using Bergman fans
by: Clarke, Oliver, et al.
Published: (2025)

Infinitesimal rigidity and prestress stability for frameworks in normed spaces
by: Dewar, Sean
Published: (2021)

Homothetic packings of centrally symmetric convex bodies
by: Dewar, Sean
Published: (2020)

Counting Frameworks of Bipyramids
by: Southgate, Jack
Published: (2023)

Vertex generated polytopes
by: Artstein-Avidan, Shiri, et al.
Published: (2024)

General penny graphs are at most 43/18-dense
by: Sagdeev, Arsenii
Published: (2024)

Extremality of tautological classes of matroids in nef cones
by: Stastny, Colin
Published: (2026)

On the smallest eigenvalues of $3$-colorable graphs
by: Jiang, Zilin, et al.
Published: (2025)

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

Explicit construction of spherical $5$- and $7$-designs
by: Misawa, Ryutaro
Published: (2026)