something on simplicial surfaces and regular and mean valence on simplicial surfaces.
For a concrete approach to triangulation have a look at books on computer graphics e.g. this one:
@book{de2000computational,
title={Computational geometry},
author={De Berg, Mark and Van Kreveld, Marc and Overmars, Mark and Schwarzkopf, Otfried Cheong},
year={2000},
publisher={Springer}
}
Triangulation can found in the following books:
1. Christian Bar, Elementary Differential Geometry, Cambridge Univ. Press.
2. J. R. Munkres, Elementry Differential Topology, Princeton University Press,
1966.
3. W. S. Massey, Algebraic Topology
A comprehensive treatment of triangulations and related topics:
J.de Loera, J.Rambau, F.Santos: Triangulations, Springer, 2010.
Selim G. Akl, and Kelly A. Lyons, Parallel Computation Geometry, Prentice Hall, 1993.
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