It is not simple to consider the world from only one side, but analyzing all sides can cloud
comprehension without reaching deep insight found at the core. In a word as a whole, there …

We consider an extension of the triangular-distance Delaunay graphs (TD-Delaunay) on a
set P of points in general position in the plane. In TD-Delaunay, the convex distance is …

This work revolves around the two following questions: Given a convex body $
C\subset\mathbb {R}^ d $, a positive integer $ k $ and a finite set $ S\subset\mathbb {R}^ d …

Given a set P of n points in the plane, the order-k Gabriel graph on P, denoted by k-GG, has
an edge between two points p and q if and only if the closed disk with diameter pq contains …

Let P be a set of n points in general position in the plane. Given a convex geometric shape
S, a geometric graph GS (P) on P is defined to have an edge between two points if and only …

Selection lemmas are classical results in discrete geometry that have been well studied and
have applications in many geometric problems like weak epsilon nets and slimming …

Given a set $ P $ of $ n $ points in the plane, the order-$ k $ Gabriel graph on $ P $, denoted
by $ k $-$ GG $, has an edge between two points $ p $ and $ q $ if and only if the closed …

Abstract\varTheta _6-graphs are important geometric graphs that have many applications
especially in wireless sensor networks. They are equivalent to Delaunay graphs where …

$\Theta_6 $-Graphs graphs are important geometric graphs that have many applications
especially in wireless sensor networks. They are equivalent to Delaunay graphs where …

El estudio de las interacciones entre cajas multi-dimensionales (es decir, hiperrectángulos d-
dimensionales alineados a los ejes) ha encontrado aplicaciones en distintas áreas …