SIAM Journal on Discrete Mathematics
Configurations of points in the plane constrained by directions only or by lengths alone lead to equivalent theories known as parallel drawings and infinitesimal rigidity of plane frameworks. We combine these two theories by introducing a new matroid on the edge set of the complete graph with doubled edges to describe the combinatorial properties of direction-length designs.
Servatius, B., & Whiteley, W. (1999). Constraining Plane Configurations in Computer-Aided Design: Combinatorics of Directions and Lengths. SIAM Journal on Discrete Mathematics, 12(1), 136-153. http://dx.doi.org/10.1137/S0895480196307342
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© 1999, SIAM Publications.