DMTCS

2005 International Conference on Analysis of Algorithms

Conrado Martínez (ed.)

DMTCS Conference Volume AD (2005), pp. 17-26


author: József Balogh, Boris Pittel and Gelasio Salazar
title: Near--perfect non-crossing harmonic matchings in randomly labeled points on a circle
keywords: Graceful, harmonious labeling, noncrossing, harmonic graph, convex position, matching, algorithm, average case behavior
abstract: Consider a set
S
of points in the plane in convex position, where each point has an integer label from
{0,1,…,n-1}
. This naturally induces a labeling of the edges: each edge
(i,j)
is assigned label
i+j
, modulo
n
. We propose the algorithms for finding large non--crossing harmonic matchings or paths, i. e. the matchings or paths in which no two edges have the same label. When the point labels are chosen uniformly at random, and independently of each other, our matching algorithm with high probability (w.h.p.) delivers a nearly--perfect matching, a matching of size
n/2 - O(n
1/3
lnn)
.
  If your browser does not display the abstract correctly (because of the different mathematical symbols) you may look it up in the PostScript or PDF files.
reference: József Balogh and Boris Pittel and Gelasio Salazar (2005), Near--perfect non-crossing harmonic matchings in randomly labeled points on a circle, in 2005 International Conference on Analysis of Algorithms, Conrado Martínez (ed.), Discrete Mathematics and Theoretical Computer Science Proceedings AD, pp. 17-26
bibtex: For a corresponding BibTeX entry, please consider our BibTeX-file.
ps.gz-source: dmAD0103.ps.gz (98 K)
ps-source: dmAD0103.ps (232 K)
pdf-source: dmAD0103.pdf (143 K)

The first source gives you the `gzipped' PostScript, the second the plain PostScript and the third the format for the Adobe accrobat reader. Depending on the installation of your web browser, at least one of these should (after some amount of time) pop up a window for you that shows the full article. If this is not the case, you should contact your system administrator to install your browser correctly.

Due to limitations of your local software, the two formats may show up differently on your screen. If eg you use xpdf to visualize pdf, some of the graphics in the file may not come across. On the other hand, pdf has a capacity of giving links to sections, bibliography and external references that will not appear with PostScript.


Automatically produced on Di Sep 27 10:09:28 CEST 2005 by gustedt