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Signed graphs serve as a primary tool for modelling social networks. They canrepresent relationships between individuals (i.e., nodes) with the use ofsigned edges. Finding communities in a signed graph is of great importance inmany areas, for example, targeted advertisement. We propose an algorithm todetect multiple communities in a signed graph. Our method reduces themulti-community detection problem to a quadratic binary unconstrainedoptimization problem and uses state-of-the-art quantum or classical optimizersto find an optimal assignment of each individual to a specific community.

Multi-Community Detection in Signed Graphs Using Quantum Hardware