2 papers
math.CO2026
Lower bounds for multivariate independence polynomials and their generalisations
Joonkyung Lee, Jaehyeon Seo
In statistical physics, the multivariate hard-core model describes a system of particles, each of which receives its own fugacity. In graph-theoretic language, the partition functi…
math.CO2025
Counting homomorphisms in antiferromagnetic graphs via Lorentzian polynomials
Joonkyung Lee, Jaeseong Oh, Jaehyeon Seo
An edge-weighted graph , possibly with loops, is said to be antiferromagnetic if it has nonnegative weights and at most one positive eigenvalue, counting multiplicities. The num…