Sign up ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Find a bipartite graph that is not isomorphic to a subgraph of any k-cube

share|cite|improve this question
Welcome to MSE. Wording your questions in a Polite Language will be appreciated and welcome on this forum. Show us what you have done. Also, tell us if it's a homework and if so, add the (homework) tag. – user21436 Feb 23 '12 at 0:54
In addition, showing what you already know (or think) about the problem will allow the community to help you more effectively. – Austin Mohr Feb 23 '12 at 1:13

1 Answer 1

up vote 1 down vote accepted

Here's a hint:

Note that the $k$-cube can be represented with nodes the $k$ length strings of $0$s and $1$s, where two nodes are adjacent if they differ in exactly one point. Consider the points $(1,0, \dots ,0)$, and $(0,1, 0, \dots ,0)$. How many points in any $k$-cube are adjacent to both of those points?

share|cite|improve this answer

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.