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Generic combinatorial rigidity of periodic frameworks

Justin Malestein, Louis Theran – 2013

- Focus Area 1: High-complexity Geometry - We give a combinatorial characterization of generic minimal rigidity for planar periodic frameworks. The characterization is a true analogue of the Maxwell-Laman Theorem from rigidity theory: it is stated in terms of a finite combinatorial object and the conditions are checkable by polynomial time combinatorial algorithms. To prove our rigidity theorem we introduce and develop periodic direction networks and Z2-graded-sparse colored graphs.

Titel
Generic combinatorial rigidity of periodic frameworks
Verfasser
Justin Malestein, Louis Theran
Datum
2013-01
Erschienen in
Advances in Mathematics, 233(1), 291–331, 2013.
Art
Text