Complex-temperature partition function zeros of the Potts model on the honeycomb and kagomé lattices

We calculate complex-temperature (CT) zeros of the partition function for the [Formula Presented]-state Potts model on the honeycomb and kagomé lattices for several values of [Formula Presented]. These give information on the CT phase diagrams. A comparison of results obtained for different boundary conditions and a discussion of some CT singularities are given. Among other results, our findings show that the Potts antiferromagnet with [Formula Presented] [Formula Presented] on the kagomé lattice has no phase transition at either finite or zero temperature.