Enumeration in torus arrangements

Enumeration of r-regular Maps on the Torus. Part II: Enumeration of Unsensed Maps

Basis Enumeration of Hyperplane Arrangements Up to Symmetries

This thesis details a method of enumerating bases of hyperplane arrangements up to symmetries. I consider here automorphisms, geometric symmetries which leave the set of all points contained in the arrangement setwise invariant. The algorithm for basis enumeration described in this thesis is a backtracking search over the adjacency graph implied on the bases by minimum-ratio simplex pivots, pru...

Investigation of the prevalence of Torus Mandibularis and Torus palatinus in Attendants of rafsanjan Dental school

the prevalence of Torus palatinus and Torus Mandibularis is widely different in various populations and races.this descriptive study was performed in 1999,to investigate the the prevalence of Torus Mandibularis and Torus palatinus in patients referring to Rafsanjan dental school.584 patients(268 men and 316 women) which were over 18 years old were examined.the information recorded in the questi...

On the enumeration of positive cells in generalized cluster complexes and Catalan hyperplane arrangements

Let Φ be an irreducible crystallographic root system with Weyl group W and coroot lattice Q̌, spanning a Euclidean space V . Let m be a positive integer and AmΦ be the arrangement of hyperplanes in V of the form (α, x) = k for α ∈ Φ and k = 0, 1, . . . ,m. It is known that the number N(Φ, m) of bounded dominant regions of AmΦ is equal to the number of facets of the positive part ∆ m + (Φ) of the...

Ju n 19 95 ENUMERATION OF RATIONAL CURVES VIA TORUS ACTIONS