3 papers
cs.DS2026
Recovering Communities in Structured Random Graphs
Michael Kapralov, Luca Trevisan, Weronika Wrzos-Kaminska
The problem of recovering planted community structure in random graphs has received a lot of attention in the literature on the stochastic block model, where the input is a random…
cs.DC2023
The Minority Dynamics and the Power of Synchronicity
Luca Becchetti, Andrea Clementi, Francesco Pasquale +3
We study the minority-opinion dynamics over a fully-connected network of nodes with binary opinions. Upon activation, a node receives a sample of opinions from a limited number…
cs.DS2023
New SDP Roundings and Certifiable Approximation for Cubic Optimization
Jun-Ting Hsieh, Pravesh K. Kothari, Lucas Pesenti +1
We give new rounding schemes for SDP relaxations for the problems of maximizing cubic polynomials over the unit sphere and the -dimensional hypercube. In both cases, the resulti…