Cart (Loading....) | Create Account
Close category search window
 

The geometry of coin-weighing problems

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

3 Author(s)
Alon, N. ; Raymond & Beverly Sackler Fac. of Exact Sci., Tel Aviv Univ., Israel ; Kozlov, D.N. ; Vu, V.H.

Given a set of m coins out of a collection of coins of k unknown distinct weights, the authors wish to decide if all the m given coins have the same weight or not using the minimum possible number of weighings in a regular balance beam. Let m(n,k) denote the maximum possible number of coins for which the above problem can be solved in n weighings. They show that m(n,2)=n(½+o(1))n, whereas for all 3⩽k⩽n+1, m(n,k) is much smaller than m(n,2) and satisfies m(n,k)=Θ(n log n/log k). The proofs have an interesting geometric flavour; and combine linear algebra techniques with geometric probabilistic and combinatorial arguments

Published in:

Foundations of Computer Science, 1996. Proceedings., 37th Annual Symposium on

Date of Conference:

14-16 Oct 1996

Need Help?


IEEE Advancing Technology for Humanity About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies

A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2014 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.