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- W3084965260 abstract "Universality theorems (in the sense of N. Mnev) claim that the realization space of a combinatorial object (a point configuration, a hyperplane arrangement, a convex polytope, etc.) can be arbitrarily complicated. In the paper, we prove a universality theorem for a graph in the plane with a prescribed oriented matroid of stresses , that is the collection of signs of all possible equilibrium stresses of the graph. This research is motivated by the Grassmanian stratification (Gelfand, Goresky, MacPherson, Serganova) by thin Schubert cells, and by a recent series of papers on stratifications of configuration spaces of tensegrities (Doray, Karpenkov, Schepers, Servatius)." @default.
- W3084965260 created "2020-09-21" @default.
- W3084965260 creator A5078564956 @default.
- W3084965260 date "2020-10-08" @default.
- W3084965260 modified "2023-10-14" @default.
- W3084965260 title "A universality theorem for stressable graphs in the plane" @default.
- W3084965260 doi "https://doi.org/10.26493/1855-3974.641.e06" @default.
- W3084965260 hasPublicationYear "2020" @default.
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