Triangulations : Structures for Applications and Algorithms

499 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1-efficient triangulations and the index of a cusped hyperbolic 3-manifold (2013, methodology): “The main tool we will use is the theory of regular triangulations of point configurations, following [9].”
Moduli of tropical plane curves (2014, background): “torics. In this section we x notation, supply denitions, present algorithms, and give some core results. For additional background, the reader is referred to the book by De Loera, Rambau, and Santos [13]. Let P be a lattice polygon, and let A= P\Z2 be the set of lattice points in P. Any function h: ”
The positive Dressian equals the positive tropical Grassmannian (2020, unknown): “(See [DLRS10] for background on regular subdivisions.”
Coxeter submodular functions and deformations of Coxeter permutahedra (2019, background): “For a more detailed treatment and proofs, see for example [12] or [14].”
The diameter of associahedra (2012, background): “guments. Invoking Theorem 2, Lemma 1 can be rephrased as the ﬁrst part of Theorem 1: the diameter of the d-dimensional associahedron is not greater than 2d 4 when d is greater than 9. As discussed in [6, 7, 9], ﬁnding lower bounds on ﬂip distances is the dicult part, tough. Lemma 3 from [6], whose p”