Algebraic and Geometric Topology, v.22, no.5, pp.2079 - 2185
Mathematical Sciences Publishers
In this article, associated to a (bordered) Legendrian graph, we study and show the equivalence
between two Legendrian isotopy invariants: augmentation number via point-counting over a finite field, for the
augmentation variety of the associated Chekanov-Eliashberg differential graded algebra, and ruling polynomial
via combinatorics of the decompositions of the associated front projection.