graphite-0.8.0.0: Graphs and networks library

Safe Haskell Safe Haskell2010

Data.Graph.UGraph.DegreeSequence

Synopsis

# Documentation

newtype DegreeSequence Source #

The Degree Sequence of a simple UGraph is a list of degrees of vertices | in a graph | Use degreeSequence to construct a valid Degree Sequence

Constructors

 DegreeSequence FieldsunDegreeSequence :: [Int]

Instances

 Source # Methods Source # Methods Source # MethodsshowList :: [DegreeSequence] -> ShowS #

Construct a DegreeSequence from a list of degrees | Negative degree values are discarded

getDegreeSequence :: (Hashable v, Eq v) => UGraph v e -> Maybe DegreeSequence Source #

Get the DegreeSequence of a simple UGraph | If the graph is not simple (see isSimple) the result is Nothing

Tell if a DegreeSequence is a Graphical Sequence | A Degree Sequence is a Graphical Sequence if a corresponding UGraph for | it exists. | Use the Havel-Hakimi algorithm

Tell if a DegreeSequence is a Directed Graphic | A Directed Graphic is a Degree Sequence for wich a DGraph exists TODO: Kleitman–Wang | Fulkerson–Chen–Anstee theorem algorithms

Tell if a DegreeSequence holds the Handshaking lemma, that is, if the | number of vertices with odd degree is even

Get the corresponding UGraph of a DegreeSequence | If the DegreeSequence is not graphical (see isGraphicalSequence) the | result is Nothing