Papers
Topics
Authors
Recent
Search
2000 character limit reached

An analogue of Gromov's waist theorem for coloring the cube

Published 6 Sep 2011 in math.CO and math.AT | (1109.1078v2)

Abstract: It is proved that if we partition a $d$-dimensional cube into $nd$ small cubes and color the small cubes into $m+1$ colors then there exists a monochromatic connected component consisting of at least $f(d, m) n{d-m}$ small cubes.

Summary

No one has generated a summary of this paper yet.

Sign Up to Summarize

Paper to Video (Beta)

No one has generated a video about this paper yet.

Sign Up to Generate All Videos Subscribe on YouTube

Whiteboard

No one has generated a whiteboard explanation for this paper yet.

Sign Up to Generate

Open Problems

We haven't generated a list of open problems mentioned in this paper yet.

Generate Now

Continue Learning

We haven't generated follow-up questions for this paper yet.

Generate Now

Authors (1)

  1. Roman Karasev 

Collections

Sign up for free to add this paper to one or more collections.

Sign Up