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math.CO2008
Geometry of configuration spaces of tensegrities
Franck Doray, Oleg Karpenkov, Jan Schepers
Consider a graph G with n vertices. In this paper we study geometric conditions for an n-tuple of points in R^d to admit a tensegrity with underlying graph G. We introduce and inve…
math.CO2006
On examples of difference operators for -valued functions over finite sets
Oleg Karpenkov
Recently V.I.Arnold have formulated a geometrical concept of monads and apply it to the study of difference operators on the sets of -valued sequences of length . In th…