Introduction to Graph Convexity

Júlio Araújo is a Professor at the Federal University of Ceará, Brazil. He holds a Master's degree (2009) and a PhD (2012) in Computer Science from the same University, with post-doc studies at the Centre de Recherche INRIA Sophia Antipolis and the Laboratoire d'Informatique, Robotique et Microélectronique de Montpellier, both in France.Mitre C. Dourado is an Associate Professor at the Federal University of Rio de Janeiro, Brazil. He did his Master's (2001) and PhD (2005) studies at the same University and did post-doc studies at the Université Paris 13 (Paris-Nord), France.Fábio Protti is a Full Professor at the Fluminense Federal University, Brazil. He holds Master's (1993) and PhD (1998) degrees in Systems Engineering and Computing from the Federal University of Rio de Janeiro, Brazil. Rudini M. Sampaio is a Full Professor at the Federal University of Ceará, Brazil. He holds a Master's degree (2000) from the same university and a PhD (2008) from the University of São Paulo.

• Part I Fundamentals of Convexity in Graphs.- Basic Concepts of Convexity.- Convexity in Graphs.- Graph Convexity Parameters.- Convex Geometries in Graphs.- Part II Main Convexities and Applications.- P3 and P3* Convexities.- Geodesic Convexity.- Other Convexities.- Convexity in Oriental Graphs.- Applications in Graph Convexities.