The visibility graph of congruent discs is Hamiltonian

نویسنده

  • David Rappaport
چکیده

We show that the visibility graph of a set of disjoint congruent discs in IR is Hamiltonian, as long as the discs are not all supported by the same line. The proof is constructive, and leads to efficient algorithms for obtaining a Hamilton circuit.

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

Geometric-Arithmetic Index of Hamiltonian Fullerenes

A graph that contains a Hamiltonian cycle is called a Hamiltonian graph. In this paper we compute the first and the second geometric – arithmetic indices of Hamiltonian graphs. Then we apply our results to obtain some bounds for fullerene.

متن کامل

Epileptic seizure detection based on The Limited Penetrable visibility graph algorithm and graph properties

Introduction: Epileptic seizure detection is a key step for both researchers and epilepsy specialists for epilepsy assessment due to the non-stationariness and chaos in the electroencephalogram (EEG) signals. Current research is directed toward the development of an efficient method for epilepsy or seizure detection based the limited penetrable visibility graph (LPVG) algorith...

متن کامل

On the visibility graph of convex translates

We show that the visibility graph of a set of non-intersecting translates of the same compact convex object in R always contains a Hamiltonian path. Furthermore, we show that every other edge in the Hamiltonian path can be used to obtain a perfect matching that is realized by a set of non-intersecting lines of sight. ? 2001 Elsevier Science B.V. All rights reserved.

متن کامل

Segment endpoint visibility graphs are hamiltonian

We show that the segment endpoint visibility graph of any finite set of disjoint line segments in the plane admits a simple Hamiltonian polygon, if not all segments are collinear. This proves a conjecture of Mirzaian.

متن کامل

On sequential triangulations of simple polygons

A triangulation is said to be Hamiltonian if its dual graph contains a Hamiltonian path. A sequential triangulation is a Hamiltonian triangulation having the additional property that the “turns” in the Hamiltonian path alternate left/right. Such triangulations are useful in computer graphics rendering and are related to a new type of two-guard walk. In this paper we present a simple algorithm t...

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:
  • Comput. Geom.

دوره 25  شماره 

صفحات  -

تاریخ انتشار 2003