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Stresses and Liftings of Cell-Complexes

https://doi.org/10.1007/pl00009434
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Lectures on 0/1-Polytopes
inferredcites →https://doi.org/10.1007/978-3-0348-9078-6openalex-snapshot
Proceedings of the International Congress of Mathematicians
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Algorithms in Combinatorial Geometry
inferredcites →https://doi.org/10.1007/bf00149284openalex-snapshot
Representations of polytopes and polyhedral sets
inferredcites →https://doi.org/10.1007/bf00164401openalex-snapshot
Generalized Dirichlet tessellations
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Duality, sections and projections of certain Euclidean tilings
inferredcites →https://doi.org/10.1007/bf01975867openalex-snapshot
Incremental topological flipping works for regular triangulations
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A matroid on hypergraphs, with applications in scene analysis and geometry
inferredcites →https://doi.org/10.1007/bf02187870openalex-snapshot
A criterion for the affine equivalence of cell complexes inR d and convex polyhedra inR d+1
inferredcites →https://doi.org/10.1007/bf02574053openalex-snapshot
The union of balls and its dual shape
inferredcites →https://doi.org/10.1007/bf02711515openalex-snapshot
Weights on polytopes
inferredcites →https://doi.org/10.1007/bf02711516openalex-snapshot
P.L.-Spheres, convex polytopes, and stress
inferredcites →https://doi.org/10.1007/bf02771591openalex-snapshot
Spherical complexes and radial projections of polytopes
inferredcites →https://doi.org/10.1007/s004539900013openalex-snapshot
Incremental Topological Flipping Works for Regular Triangulations
inferredcites →https://doi.org/10.1016/0001-8708(89)90047-9openalex-snapshot
The algebra of continuous piecewise polynomials
inferredcites →https://doi.org/10.1016/0166-218x(85)90060-5openalex-snapshot
On combinatorial structures of line drawings of polyhedra
inferredcites →https://doi.org/10.1016/0166-218x(90)90108-oopenalex-snapshot
A relationship between Gale transforms and Voronoi diagrams
inferredcites →https://doi.org/10.1016/0195-6698(95)90005-5openalex-snapshot
Skeletal rigidity of simplicial complexes, II
inferredcites →https://doi.org/10.1016/b978-0-08-016160-0.50028-2openalex-snapshot
ELEMENTS OF ALGEBRAIC TOPOLOGY
inferredcites →https://doi.org/10.1016/s0734-189x(87)80119-6openalex-snapshot
Machine interpretation of line drawings
inferredcites →https://doi.org/10.1016/s0747-7171(87)80003-2openalex-snapshot
Recognising polytopical cell complexes and constructing projection polyhedra
inferredcites →https://doi.org/10.1017/s0305004100057595openalex-snapshot
A convex 3-complex not simplicially isomorphic to a strictly convex complex
inferredcites →https://doi.org/10.1090/s0002-9947-1988-0965757-9openalex-snapshot
Homology of Smooth Splines: Generic Triangulations and a Conjecture of Strang
inferredcites →https://doi.org/10.1090/trans2/109/06openalex-snapshot
The geometry of positive quadratic forms
inferredcites →https://doi.org/10.1112/jlms/s2-4.1.165openalex-snapshot
Diagrams for Positive Bases
inferredcites →https://doi.org/10.1137/s0895480192229236openalex-snapshot
Second-Order Rigidity and Prestress Stability for Tensegrity Frameworks
inferredcites →https://doi.org/10.1145/10515.10531openalex-snapshot
Two algorithms for polyhedral pictures
inferredcites →https://doi.org/10.1201/9780429493911openalex-snapshot
Elements of Algebraic Topology
inferredcites →https://doi.org/10.2307/2325168openalex-snapshot
Algorithms in Combinatorial Geometry.
inferredcites →https://doi.org/10.48550/arxiv.math/9902160openalex-snapshot
On traces of $d$-stresses in the skeletons of lower dimensions of homology $d$-manifolds

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Cycle and circle tests of balance in gain graphs: Forbidden minors and their groups
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Ramsey unsaturated and saturated graphs
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On Traces ofd-stresses in the Skeletons of Lower Dimensions of Piecewise-lineard-manifolds
inferred← citeshttps://doi.org/10.1007/978-3-662-57413-3openalex-snapshot
New Trends in Intuitive Geometry
inferred← citeshttps://doi.org/10.1007/978-3-662-57413-3_11openalex-snapshot
Spaces of Convex n-Partitions
inferred← citeshttps://doi.org/10.1007/s00454-005-1170-6openalex-snapshot
Criteria for Balance in Abelian Gain Graphs, with Applications to Piecewise-Linear Geometry
inferred← citeshttps://doi.org/10.1007/s00454-011-9375-3openalex-snapshot
Weakly Regular Subdivisions
inferred← citeshttps://doi.org/10.1007/s00454-017-9887-6openalex-snapshot
Embedding Stacked Polytopes on a Polynomial-Size Grid
inferred← citeshttps://doi.org/10.1007/s00454-017-9956-xopenalex-snapshot
Rigidity and Volume Preserving Deformation on Degenerate Simplices
inferred← citeshttps://doi.org/10.1007/s10957-018-1442-yopenalex-snapshot
Power Diagram Detection with Applications to Information Elicitation
inferred← citeshttps://doi.org/10.1007/s13366-019-00470-xopenalex-snapshot
Lifting degenerate simplices with a single volume constraint
inferred← citeshttps://doi.org/10.1007/s40879-021-00523-3openalex-snapshot
Equilibrium stressability of multidimensional frameworks
inferred← citeshttps://doi.org/10.1016/j.comgeo.2023.102075openalex-snapshot
Rational tensegrities through the lens of toric geometry
inferred← citeshttps://doi.org/10.1112/s0025579300014765openalex-snapshot
Fibre tilings
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A Geometric Perspective on Minimal Peer Prediction
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A Geometric Method to Construct Minimal Peer Prediction Mechanisms
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A LOGARITHMIC-TIME SOLUTION TO THE POINT LOCATION PROBLEM FOR CLOSED-FORM LINEAR MPC
inferred← citeshttps://doi.org/10.48550/arxiv.1706.03322openalex-snapshot
The face numbers of homology spheres
inferred← citeshttps://doi.org/10.48550/arxiv.2012.11039openalex-snapshot
Sharp discrete isoperimetric inequalities in periodic graphs via discrete PDE and Semidiscrete Optimal Transport
inferred← citeshttps://doi.org/10.48550/arxiv.math/0009216openalex-snapshot
How to make a triangulation of S^3 polytopal
inferred← citeshttps://doi.org/10.48550/arxiv.math/0208073openalex-snapshot
Face numbers of 4-Polytopes and 3-Spheres
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Embedding stacked polytopes on a polynomial-size grid
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