Top Posts
Recent comments
Blogroll
- Astronomy Picture of the Day
- Azimuth
- British Combinatorial Committee
- Comfortably numbered
- Diamond Geezer
- Exploring East London
- From hill to sea
- Gödel's lost letter and P=NP
- Gil Kalai
- Jane's London
- Jon Awbrey
- Kourovka Notebook
- LMS blogs page
- Log24
- London Algebra Colloquium
- London Reconnections
- MathBlogging
- Micromath
- Neill Cameron
- neverendingbooks
- Noncommutative geometry
- numericana hall of fame
- Ratio bound
- Robert A. Wilson's blog
- Since it is not …
- Spitalfields life
- Sylvy's mathsy blog
- SymOmega
- Terry Tao
- The Aperiodical
- The De Morgan Journal
- The ICA
- The London column
- The Lumber Room
- The matroid union
- Theorem of the day
- Tim Gowers
- XKCD
Find me on the web
-
Join 664 other followers
Cameron Counts: RSS feeds
Meta
Tag Archives: Peter Keevash
EKR, Steiner systems, association schemes, and all that
A great number of mathematical problems amount to looking in a large but highly structured graph, and finding a complete or null subgraph of largest possible size there. For a simple example, consider Latin squares of order n. One of … Continue reading
Synchronization and separation in the Johnson schemes
Today a paper by Mohammed Aljohani, John Bamberg and me went on the arXiv on this topic. Here is a brief summary of what it is about. Synchronization comes in several flavours, and the point of the paper is to … Continue reading
Posted in exposition, Uncategorized
Tagged association scheme, Peter Keevash, Philippe Delsarte, separation, synchronization
Leave a comment
Peter Keevash at IMS
This picture (courtesy of Sebi Cioabă) shows Peter Keevash with the diagram which illustrates the proof strategy for his theorem. Perhaps it will be helpful, especially to those who heard the lecture (or similar lectures elsewhere). Thanks Sebi!
Keevash on triangle decompositions
Today Peter Keevash finished four and a half hours of lectures on his latest improvement of his result on the existence of designs. I have heard him talk on this before, but in a one-hour talk he had time to … Continue reading
Posted in Uncategorized
Tagged designs, Peter Keevash, Rodl nibble, triangle decompositions
Leave a comment
Steiner systems
Following Peter Keevash’s asymptotic existence proof for Steiner systems, does anything remain to be done? I would say yes, it certainly does; here are a few thoughts about the open problems in this area. Existence We are looking for a … Continue reading
Steiner systems exist
A Steiner system S(t,k,n) is a collection of k-subsets (called “blocks”) of an n-set of “points” with the property that any t-set of points is contained in a unique block. To avoid trivial cases, we assume that t<k<n. Since the … Continue reading
Peter Cameron's Blog 