ISIPhyNC  Class: regular
Definition
A phylogenetic network is
regular if it is a Hasse diagram with only one node of indegree 0. This is equivalent to the following conditions being true:

c(
v), the cluster set of all leaves that can be reached from node
v, is different for each
v,
 the cluster set
c(
x) is included into
c(
y) if and only if node
x can be reached from node
y,
 for any two nodes
x and
y, if there exists two distinct connected paths from
x to
y then each contains at least two arcs. [
reference]
Bibliographic references on the Who is who in phylogenetic networks
Relationships with other phylogenetic network classes
Maximum subclasses
Minimum superclasses
Problems
Positive results proved for this class
Positive results deduced from superclasses
No positive result could be deduced from superclasses.
Negative results proved for this class
Negative results deduced from subclasses
No negative result could be deduced from subclasses.
Properties
Properties proved for this class
Properties deduced from superclasses
No property could be deduced from superclasses.
Properties deduced from subclasses
No property could be deduced from subclasses.
Examples of networks
In this class
proved directly:
no network found in this class with a direct proof
Deduced from class inclusions: no network found in this class using class inclusions
Not in this class
Proved directly:
no network found outside this class with a direct proof
Deduced from class inclusions: no network found outside this class using class inclusions
About this website
This website was programmed and is maintained by Philippe Gambette.
It was started during the internship of Maxime Morgado at LIGM, in JuneJuly 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.
How to cite
P. Gambette, M. Morgado, N. Tavassoli & M. Weller (2018)
ISIPhyNC, an Information System on Inclusions of Phylogenetic Network Classes, manuscript in preparation.
Database content
73 classes of phylogenetic networks including 35 classes of binary phylogenetic networks (defined in a total of 20 bibliographic references), 51 inclusion relationships proved directly between classes (including some found in a total of 9 bibliographic references), 24 networks (68 memberships to a class, 56 nonmemberships to a class), 3 problems considered, 3 properties considered, 37 theorems proved directly (including some found in a total of 17 bibliographic references) including 26 positive results (which can be extended to subclasses) and 11 negative results (which can be extended to superclasses).