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math.CO2026
Degree-sequence bounds for independent sets via multivariate local occupancy
Ewan Davies, Juspreet Singh Sandhu, Jaehyeon Seo +1
We present new degree-sequence lower bounds on the expected size of an independent set from the hard-core model. For arbitrary graphs, we establish a multivariate lower bound inspi…
math.CO2025
On expectations and variances in the hard-core model on bounded degree graphs
Ewan Davies, Juspreet Singh Sandhu, Brian Tan
We extend the study of the occupancy fraction of the hard-core model in two novel directions. One direction gives a tight lower bound in terms of individual vertex degrees, extendi…