A note on blocking visibility between points

نویسندگان

  • Adrian Dumitrescu
  • János Pach
  • Géza Tóth
چکیده

Given a finite point set P in the plane, let b(P ) be the smallest number of points q1, q2, . . . not belonging to P which together block all visibilities between elements of P , that is, every open segment whose endpoints belong to P contains at least one point qi. Let b(n) denote the minimum of b(P ) over all n-element point sets P , with no three points on the same line. It is known that 2n − 3 ≤ b(n) ≤ n2 √ log , where c is an absolute constant. Here we raise the lower bound to (

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Further Observations on Blocking Zeros in Linear Muitivariabie systems (RESEARCH NOTE).

While attempting to clarify the confusion concerning the conceptualization of "blocking zeros" in state space in the recent literature, some new observations are made on the relationship between pole-zero cancellation and transmission blocking. An important distinction between uncontrollable and unobservable eigenvalue s is pointed out; and it is argued that the description of a Blocking Zero, ...

متن کامل

Blocking Visibility for Points in General Position

For a finite set P in the plane, let b(P ) be the smallest possible size of a set Q, Q∩P = ∅, such that every segment with both endpoints in P contains at least one point of Q. We raise the problem of estimating b(n), the minimum of b(P ) over all n-point sets P with no three points collinear. By a construction similar to Behrend’s construction of sparse sets of integers avoiding 3-term arithme...

متن کامل

On the Relation Between the Large-Scale Tropospheric Circulation and Air Quality in Tehran

The large-scale tropospheric circulation can play a controlling role in the accumulation and ventilation of air pollutants. It thus impacts air quality in large urban areas. This paper investigates the statistical relations between the dynamical indices related to circulation in the troposphere and visibility as a surrogate for air pollution in the urban area of Tehran for the climatological pe...

متن کامل

Single-Point Visibility Constraint Minimum Link Paths in Simple Polygons

We address the following problem: Given a simple polygon $P$ with $n$ vertices and two points $s$ and $t$ inside it, find a minimum link path between them such that a given target point $q$ is visible from at least one point on the path. The method is based on partitioning a portion of $P$ into a number of faces of equal link distance from a source point. This partitioning is essentially a shor...

متن کامل

Categorisation of polyphonic musical signals by using modularity community detection in audio-associated visibility network

*Correspondence: [email protected] 1Department of Mathematics (DEMAT), Nucleus of Studies of Mathematics, Statistics and Education (NEMEE), Federal Institute of Education Science and Technology of Bahia (IFBA), Salvador, Bahia, Brazil Full list of author information is available at the end of the article Abstract This article proposes a method to numerically characterise the homogeneity of p...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2009