sealed trait Generator extends AnyRef

Contribution of Ankit-Jaiswal and Soumyo Biswas, independent of the rest of the code.

This program basically abstracts : (i) OrientableSurface (i.e. a connected compact 2-manifold) parametrized by g and r. where, g is its genus and r is the number of components in its boundary. (ii) Surfaces' fundamental group Generators along with the 'relation' over them, (iii) Closed curves/Words (on the surfaces) in terms of Generators, And, verifies whether a given word is homotopic to a simple closed curve.

NOTE: This program works for surfaces which are not sphere(where g = 0 as well as r = 0).

Reference:: "Simple Closed Curves on Surfaces" by D.R.J. Chillingworth

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