Zobrazeno 1 - 10
of 26
pro vyhledávání: '"52C25, 05C10"'
Autor:
Cho, Yunhi, Kim, Seonhwa
We prove that every three-dimensional polyhedron is uniquely determined by its dihedral angles and edge lengths, even if nonconvex or self-intersecting, under two plausible sufficient conditions: (i) the polyhedron has only convex faces and (ii) it d
Externí odkaz:
http://arxiv.org/abs/2307.14769
A bar-joint framework $(G,p)$ in the Euclidean space $\mathbb{E}^d$ is globally rigid if it is the unique realisation, up to rigid congruences, of $G$ in $\mathbb{E}^d$ with the edge lengths of $(G,p)$. Building on key results of Hendrickson and Conn
Externí odkaz:
http://arxiv.org/abs/2206.07426
A bar-joint framework $(G,p)$ is the combination of a graph $G$ and a map $p$ assigning positions, in some space, to the vertices of $G$. The framework is rigid if every edge-length-preserving continuous motion of the vertices arises from an isometry
Externí odkaz:
http://arxiv.org/abs/2112.10480
Autor:
Dewar, Sean, Nixon, Anthony
Publikováno v:
Journal of Mathematical Analysis and Applications (2022)
A bar-joint framework $(G,p)$ in a (non-Euclidean) real normed plane $X$ is the combination of a finite, simple graph $G$ and a placement $p$ of the vertices in $X$. A framework $(G,p)$ is globally rigid in $X$ if every other framework $(G,q)$ in $X$
Externí odkaz:
http://arxiv.org/abs/2108.06484
We consider the problem of finding an inductive construction, based on vertex splitting, of triangulated spheres with a fixed number of additional edges (braces). We show that for any positive integer $b$ there is such an inductive construction of tr
Externí odkaz:
http://arxiv.org/abs/2107.03829
Autor:
Lin, Patrick
We explore toroidal analogues of the Maxwell-Cremona correspondence. Erickson and Lin [arXiv:2003.10057] showed the following correspondence for geodesic torus graphs $G$: a positive equilibrium stress for $G$, an orthogonal embedding of its dual gra
Externí odkaz:
http://arxiv.org/abs/2009.12205
We consider the problem of characterising the generic rigidity of bar-joint frameworks in $\mathbb{R}^d$ in which each vertex is constrained to lie in a given affine subspace. The special case when $d=2$ was previously solved by I. Streinu and L. The
Externí odkaz:
http://arxiv.org/abs/2005.11051
Autor:
Erickson, Jeff, Lin, Patrick
We consider three classes of geodesic embeddings of graphs on Euclidean flat tori: (1) A toroidal graph embedding $\Gamma$ is positive equilibrium if it is possible to place positive weights on the edges, such that the weighted edge vectors incident
Externí odkaz:
http://arxiv.org/abs/2003.10057
A bar-joint framework $(G,p)$ in $\mathbb{R}^d$ is rigid if the only edge-length preserving continuous motions of the vertices arise from isometries of $\mathbb{R}^d$. It is known that, when $(G,p)$ is generic, its rigidity depends only on the underl
Externí odkaz:
http://arxiv.org/abs/2003.06648
A linearly constrained framework in $\mathbb{R}^d$ is a point configuration together with a system of constraints which fixes the distances between some pairs of points and additionally restricts some of the points to lie in given affine subspaces. I
Externí odkaz:
http://arxiv.org/abs/1906.10926