Edge-isoperimetric inequalities and influences

Details Edge-isoperimetric inequalities and influences Edge-isoperimetric inequalities and influences

2005-12-29

arxiv.org/abs/math/0512636v1

Mathematics

Combinatorics

Scientific paper

We give a combinatorial proof of the result of Kahn, Kalai, and Linial, which states that every balanced boolean function on the $n$-dimensional boolean cube has a variable with influence of at least Omega(\frac{log n}{n}). The methods of the proof are then used to recover additional isoperimetric results for the cube, with improved constants. We also state some conjectures about optimal constants and discuss their possible implications

Affiliated with

Also associated with

No associations

Rating

Edge-isoperimetric inequalities and influences 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 Edge-isoperimetric inequalities and influences, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Edge-isoperimetric inequalities and influences will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-701110