Zobrazeno 1 - 10
of 79
pro vyhledávání: '"Oliveros, Deborah"'
In this paper we present a unique 4-dimensional body of constant width based on the classical notion of focal conics.
Externí odkaz:
http://arxiv.org/abs/2408.13241
Given a finite set of points in $\mathbb{R}^d$, Tverberg's theorem guarantees the existence of partitions of this set into parts whose convex hulls intersect. We introduce a graph structured on the family of Tverberg partitions of a given set of poin
Externí odkaz:
http://arxiv.org/abs/2310.08563
The Borsuk conjecture and the V\'azsonyi problem are two attractive and famous questions in discrete and combinatorial geometry, both based on the notion of diameter of a bounded sets. In this paper, we present an equivalence between the critical set
Externí odkaz:
http://arxiv.org/abs/2308.03889
In many real life situations one has $m$ types of random events happening in chronological order within a time interval and one wishes to predict various milestones about these events or their subsets. An example is birdwatching. Suppose we can obser
Externí odkaz:
http://arxiv.org/abs/2205.05743
Autor:
Oliveros, Deborah, Torres, Antonio
Tverberg's theorem says that a set with sufficiently many points in $\mathbb{R}^d$ can always be partitioned into $m$ parts so that the $(m-1)$-simplex is the (nerve) intersection pattern of the convex hulls of the parts. In arXiv:1808.00551v1 [math.
Externí odkaz:
http://arxiv.org/abs/2111.10038
The purpose of this paper is to describe a new $3$-dimensional family of bodies of constant width that we have called peabodies, obtained from the Reuleaux tetrahedron by replacing a small neighborhood of all six edges with sections of an envelope of
Externí odkaz:
http://arxiv.org/abs/2107.05769
Publikováno v:
In Discrete Mathematics April 2024 347(4)
Let $S$ be a set of $n$ points in general position in the plane, and let $X_{k,\ell}(S)$ be the number of convex $k$-gons with vertices in $S$ that have exactly $\ell$ points of $S$ in their interior. We prove several equalities for the numbers $X_{k
Externí odkaz:
http://arxiv.org/abs/1910.08736
Tverberg's theorem says that a set with sufficiently many points in $\mathbb{R}^d$ can always be partitioned into $m$ parts so that the $(m-1)$-simplex is the (nerve) intersection pattern of the convex hulls of the parts. The main results of our pape
Externí odkaz:
http://arxiv.org/abs/1808.00551
An $r$-segment hypergraph $H$ is a hypergraph whose edges consist of $r$ consecutive integer points on line segments in $\mathbb{R}^2$. In this paper, we bound the chromatic number $\chi(H)$ and covering number $\tau(H)$ of hypergraphs in this family
Externí odkaz:
http://arxiv.org/abs/1807.04826