proved directly:
network #8 : All reticulation vertices are stable (c for leaf 2, f for leaf 3 and g for leaf 4) and have a parent which has a tree path to a leaf: b, parent of c, has a tree path to leaf 1; h, parent of f, has a tree path to leaf 4; i, parent of g, has a tree path to leaf 5.
Deduced from class inclusions: network #5 (deduced from the inclusion of "binary unicyclic" in this class), network #6 (deduced from the inclusion of "binary galled tree" in this class), network #7 (deduced from the inclusion of "binary normal" in this class), network #13 (deduced from the inclusion of "binary normal" in this class), network #22 (deduced from the inclusion of "binary normal" in this class), network #15 (deduced from the inclusion of "binary normal" in this class)
Proved directly:
network #4 : Reticulation vertex g is stable but none of its parents a and i have the tree-path property.
Deduced from class inclusions: network #14 (deduced from the inclusion of this class in "binary tree-sibling"), network #12 (deduced from the inclusion of this class in "binary compressed"), network #11 (deduced from the inclusion of this class in "binary reticulation-visible"), network #1 (deduced from the inclusion of this class in "binary tree-sibling"), network #10 (deduced from the inclusion of this class in "binary tree-based"), network #24 (deduced from the inclusion of this class in "binary reticulation-visible"), network #2 (deduced from the inclusion of this class in "binary tree-sibling"), network #3 (deduced from the inclusion of this class in "binary tree-based")
This website was programmed and is maintained by Philippe Gambette. It was started during the internship of Maxime Morgado at LIGM, in June-July 2015, and also contains contributions made from Narges Tavassoli from November 2016 to January 2017.
Please contact Philippe Gambette if you have any suggestions about this website, especially about problems, properties, results or subclasses to add.