%0 Journal Article %T Linear Time Split Decomposition Revisited %A Pierre Charbit %A Fabien de Montgolfier %A Mathieu Raffinot %J Computer Science %D 2009 %I arXiv %X Given a family F of subsets of a ground set V, its orthogonal is defined to be the family of subsets that do not overlap any element of F. Using this tool we revisit the problem of designing a simple linear time algorithm for undirected graph split (also known as 1-join) decomposition. %U http://arxiv.org/abs/0902.1700v3