A very simple constructive proof of Lowdin's pairing theorem is presented.
Simple proofs of occupancy tail bounds
β Scribed by Devdatt Dubhashi
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 130 KB
- Volume
- 11
- Category
- Article
- ISSN
- 1042-9832
No coin nor oath required. For personal study only.
β¦ Synopsis
We give a simple proof of an occupancy tail bound in the balls and bins experiment using the method of bounded differences in expected form. We also indicate how a short, calculation-free proof of another occupancy tail bound follows from an extension of the standard ChernoffαHoeffding bounds to variables that satisfy some general notions of negative dependence.
π SIMILAR VOLUMES
This article gives a simple proof of a result of Moser, which says that, for any rational number r between 2 and 3, there exists a planar graph G whose circular chromatic number is equal to r.
This note gives a simple procedure for finding the maximum likelihood estimate of the prior probabilities in paternity cases. The procedure is based on a fixed point principle.
It is well known that almost every graph in the random space G(n, p) has chromatic number of order O(np/ log(np)), but it is not clear how we can recognize such graphs without eventually computing the chromatic numbers, which is NP-hard. The first goal of this article is to show that the above-menti