Review of Spectral Analysis for Different Types of Signed Graphs

Abstract

Spectral analysis is performed on the adjacency and Laplacian matrices associated with the different types of signed graphs. A signed graph  is a graphin which each edge carries a value  called its sign denoted specially as . This review paper blends recent expansions in spectral analysis of different types of signed graphs such as splitting signed graphs, cartesian product of signed graphs, signed social networks, etc. Additionally, analyse the spectral properties of signed graphs on special sets and signed social networks. By examining key papers and integrate additional insights, this review offers the practical applications of signed graph theory with significant implications for network analysis and social interactions.