Algorithmic aspects of a general modular decomposition theory Original Research Article

A new general decomposition theory inspired by modular graph decomposition is presented. This helps in unifying modular decomposition on different structures, including (but not restricted to) graphs. Moreover, even in the case of graphs, this new notion called homogeneous modules not only captures the classical graph modules but also allows handling 2-connected components, star-cutsets, and other vertex subsets.