The Laman number of a Laman graph is the number of realizations of
in
compatible with a general edge labeling, counted up to direct complex isometry (Capco
et al. 2018).
Equivalently, the Laman number of is the degree of the algebraic map
obtained from the squared-distance equations for
after quotienting translations and direct rotations.
The minimal Laman number among all Laman graphs on , 7, ..., 12 vertices is
(Capco et al. 2018). Extremal graphs attaining
the largest Laman number for a fixed number of vertices are called maximally
Laman graphs.