ISIPhyNC - Network #13

JSON code of the network

{"nodes":["r","a","b","c","d","e","f","1","2","3","4"],"edges": [["r","a"],["a","b"],["b","1"],["b","c"],["c","2"],["a","d"],["d","e"],["e","c"],["e","3"],["r","f"],["f","d"],["f","4"]]}

Visualization of the network

r is the root and the leaves are labeled from 1 to 4. Arcs are oriented from the parent to the child.

Classes containing this network or not

Classes which contain this network (with direct proof)

• binary leaf outerplanar: Easy to check.
• binary normal: The network contains no redundant arc, and all parents of reticulations have a tree child: a and f, parents of d, have respectively b and 4 as tree child; b and e, parents of c, have respectively 1 and 3 as tree child.
• binary level-2: Easy to check.

Classes which do not contain this network (with direct proof)

• binary galled network: Reticulation arc (a,d) is a common arc of reticulation cycles from r to d and from a to c.

All classes

In the inclusion diagram below, the names of classes containing this network are colored green and the name of the classes not containing it are colored red.