Exploració per autor "Fabila-Monroy, Ruy"
Ara es mostren els items 1-5 de 5
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Note on the number of obtuse angles in point sets
(2014-09)
Article
Accés obertIn $1979$ Conway, Croft, Erd\H{o}s and Guy proved that every set $S$ of $n$ points in general position in the plane determines at least $\frac{n^3}{18}-O(n^2)$ obtuse angles and also presented a special set of $n$ points ... -
Order types and cross-sections of line arrangements in R^3
(2014)
Text en actes de congrés
Accés restringit per política de l'editorialWe consider sets L = {l1,...., ln} of n labeled lines in general position in R3, and study the order types of point sets fp1; : : : ; png that stem from the intersections of the lines in L with (directed) planes II, not ... -
Order types of random point sets can be realized with small integer coordinates
(2017)
Text en actes de congrés
Accés obertLet S := {p1, . . . , pn} be a set of n points chosen independently and uniformly at random from the unit square and let M be a positive integer. For every point pi = (xi , yi) in S, let p 0 i = (bMxic, bMyic). Let S 0 := ... -
Ramsey numbers for empty convex polygons
(University of Ljubljana, 2015)
Text en actes de congrés
Accés restringit per política de l'editorialWe study a geometric Ramsey type problem where the vertices of the complete graph Kn are placed on a set S of n points in general position in the plane, and edges are drawn as straight-line segments. We define the empty ... -
The number of empty four-gons in random point sets
(2014)
Article
Accés obertLet S be a set of n points distributed uniformly and independently in the unit square. Then the expected number of empty four-gons with vertices from S is T(n^2 log¿ n). A four-gon is empty if it contains no points of S ...
