Tags » Chromatic Number

9,21,27,45,81,153,...

This is the sequence of degrees of primitive groups which don’t synchronize a map of rank 3, equivalently graphs with clique number and chromatic number 3 having primitive automorphism groups. 72 more words

Open Problems

An Experiment with Property-derived Invariants

We’ve coded a number of graph invariants and properties. One easy way to get more invariants is to use the characteristic functions of the properties we’ve already coded. 396 more words

Conjectures

Chromatic Number Upper Bound Conjectures

In our continued testing of the program we generated some conjectures for upper bounds for the chromatic number. We told the program the upper bounds due to… 138 more words

Conjectures