2023/03/20 by Huang, Yufan, Gleich, David F.
#Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #Social and Information Networks (cs.SI)
paper · doi:10.48550/arxiv.2303.11452
The μ-conductance measure proposed by Lovasz and Simonovits is a size-specific conductance score that identifies the set with smallest conductance while disregarding those sets with volume smaller than a μ fraction of the whole graph. Using μ-conductance enables us to study in new ways. In this manuscript we propose a modified spectral cut that is a natural relaxation of the integer program of μ-conductance and show the optimum of this program has a two-sided Cheeger inequality with μ-conductance.