As part of my research work I have generated all uniform non-isomorphic
hypergraphs, with the maximum number of hyperedges, avoiding certain
subgraphs. For some of these avoided subgraphs this is equivalent to
generating all non-isomorphic covering designs with given parameters. In
many cases my results were the first to determine the size of optimal such
Turan Hypergraphs Covering designs Double covering designs
Low discrepancy sequence for the Erös discrepcany problem
For the start of the Polymath5 project I have generated examples of sequnece with low dsicrpeancy along arithmetic progressions. These can be found on this page.
Extremal sets related to the Hales-Jewett theorem
As part of the Polymath1 project I generated various extremal sets. These can be found on this
The Ising polynomial for square grids
On this page you
can find the Ising polynomials for Ck×Ck for k up to 320, a mathematica
notebook for fast computation of such polynomials, and the reference to the
Cubic graphs avoiding certain cycle lengths
I have generated all small cubic graphs not containing cycles of certain
lengths. You can find the graphs here.
Other interesting cubic graphs can be found at The House of Graphs.
Boolean formulae constructed to challenge SAT-solvers
On this page I have some examples of boolean
formulae generated to be hard for DPLL and resolution based
satisfiabillity program to prove unsolvable. The page also includes a Mathematica notebook for generating such
formulae from graphs.
The number of graphs
The number of graphs on n vertices, for n up to 68 txt
Just something that I computed when I was reading about a random graph generator
which needed this as input.