Prime 2-structures

Pierre Ille (1)

1 I2M - Institut de Mathématiques de Marseille

My purpose is to present the main results on prime 2-structures. We consider primality in terms of the usual modular decomposition. We are mainly interested in the downward hereditary properties of primality. The first six chapters are devoted to finite prime 2-structures whereas the last three ones are to infinite prime 2-structures. The main focus is to establish results from the literature proven for graphs, digraphs, binary relational structures, etc., in the setting of 2-structures.

Mots clés: 2-structures; Prime

Domaines: Mathématiques [math]

Pierre Ille. Prime 2-structures. Contributions to Discrete Mathematics, 2021. ⟨hal-04096404⟩