A Note on Ternary Sequences of Strings of 0 and 1

Details A Note on Ternary Sequences of Strings of 0 and 1 A Note on Ternary Sequences of Strings of 0 and 1

2008-03-28

arxiv.org/abs/0803.4079v2

Mathematics

Combinatorics

5 pages

Scientific paper

B. D. Acharya has conjectured that if $\bigl(A_i: i=1, 2, ..., 2^{|X|}-1\bigr)$ is a permutation of all nonempty subsets of a set $X$ with at least two elements such that for each even positive integer $j<2^{|X|}-1$, $A_{j-1}\triangle A_j\triangle A_{j+1}=\emptyset$, then $|X|=2$. In this article, we show that if the cardinality of a set $X$ is more than four, then a permutation as described above indeed exists.

Affiliated with

Also associated with

No associations

Rating

A Note on Ternary Sequences of Strings of 0 and 1 does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Note on Ternary Sequences of Strings of 0 and 1, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Note on Ternary Sequences of Strings of 0 and 1 will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-173790