Partitions of Graphs into Special Bipartite Graphs (2412.12664v1)

Abstract: We study the problem of partitioning the edge set of a graph into bipartite subgraphs under certain constraints defined by forbidden subgraphs. These constraints lead to both classical, such as partitioning into independent matchings and complete bipartite subgraphs, and novel partitioning problems. The theoretical framework we provide is motivated by clustering problems of real-world transaction graphs, which can naturally be formulated as edge partitioning problems under certain bipartite graph constraints.