https://hal.inria.fr/hal-01184360Göring, FrankFrankGöringChemnitz University of Technology / Technische Universität ChemnitzMader ToolsHAL CCSD2005graphH-pathseparator[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM][MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO]Episciences Iam, CoordinationStefan Felsner2015-08-14 11:37:242021-12-07 13:12:022015-08-14 16:34:53enConference papershttps://hal.inria.fr/hal-01184360/document10.46298/dmtcs.3404application/pdf1The deep theorem of Mader concerning the number of internally disjoint H-paths is a very powerfull tool. Nevertheless its use is very difficult, because one has to deal with a very reach family of separators. This paper shows several ways to strengthen Mader's theorem by certain additional restrictions of the appearing separators.