Data.Graph.DGraph

Documentation

newtype DGraph v e

Directed Graph of Vertices in v and Arcs with attributes in e

Constructors

DGraph

Fields

• unDGraph :: HashMap v (Links v e)

Instances

Graph DGraph

Methods

empty :: Hashable v => DGraph v e

order :: DGraph v e -> Int

size :: (Hashable v, Eq v) => DGraph v e -> Int

vertices :: DGraph v e -> [v]

edgePairs :: (Hashable v, Eq v) => DGraph v e -> [(v, v)]

containsVertex :: (Hashable v, Eq v) => DGraph v e -> v -> Bool

areAdjacent :: (Hashable v, Eq v) => DGraph v e -> v -> v -> Bool

adjacentVertices :: (Hashable v, Eq v) => DGraph v e -> v -> [v]

directlyReachableVertices :: (Hashable v, Eq v) => DGraph v e -> v -> [v]

vertexDegree :: (Hashable v, Eq v) => DGraph v e -> v -> Int

degrees :: (Hashable v, Eq v) => DGraph v e -> [Int]

maxDegree :: (Hashable v, Eq v) => DGraph v e -> Int

minDegree :: (Hashable v, Eq v) => DGraph v e -> Int

avgDegree :: (Hashable v, Eq v) => DGraph v e -> Double

density :: (Hashable v, Eq v) => DGraph v e -> Double

insertVertex :: (Hashable v, Eq v) => v -> DGraph v e -> DGraph v e

insertVertices :: (Hashable v, Eq v) => [v] -> DGraph v e -> DGraph v e

containsEdgePair :: (Hashable v, Eq v) => DGraph v e -> (v, v) -> Bool

incidentEdgePairs :: (Hashable v, Eq v) => DGraph v e -> v -> [(v, v)]

insertEdgePair :: (Hashable v, Eq v) => (v, v) -> DGraph v () -> DGraph v ()

insertEdgePairs :: (Hashable v, Eq v) => [(v, v)] -> DGraph v () -> DGraph v ()

removeVertex :: (Hashable v, Eq v) => v -> DGraph v e -> DGraph v e

removeVertices :: (Hashable v, Eq v) => [v] -> DGraph v e -> DGraph v e

removeEdgePair :: (Hashable v, Eq v) => (v, v) -> DGraph v e -> DGraph v e

removeEdgePairs :: (Hashable v, Eq v) => [(v, v)] -> DGraph v e -> DGraph v e

removeEdgePairAndVertices :: (Hashable v, Eq v) => (v, v) -> DGraph v e -> DGraph v e

isSimple :: (Hashable v, Eq v) => DGraph v e -> Bool

fromAdjacencyMatrix :: [[Int]] -> Maybe (DGraph Int ())

toAdjacencyMatrix :: DGraph v e -> [[Int]]

(Eq e, Eq v) => Eq (DGraph v e)

Methods

(==) :: DGraph v e -> DGraph v e -> Bool

(/=) :: DGraph v e -> DGraph v e -> Bool

(Hashable v, Eq v, Read v, Read e) => Read (DGraph v e)

Methods

readsPrec :: Int -> ReadS (DGraph v e)

readList :: ReadS [DGraph v e]

readPrec :: ReadPrec (DGraph v e)

readListPrec :: ReadPrec [DGraph v e]

(Hashable v, Eq v, Show v, Show e) => Show (DGraph v e)

Methods

showsPrec :: Int -> DGraph v e -> ShowS

show :: DGraph v e -> String

showList :: [DGraph v e] -> ShowS

Generic (DGraph v e)

Associated Types

type Rep (DGraph v e) :: * -> *

Methods

from :: DGraph v e -> Rep (DGraph v e) x

to :: Rep (DGraph v e) x -> DGraph v e

(Arbitrary v, Arbitrary e, Hashable v, Num v, Ord v) => Arbitrary (DGraph v e)

Methods

arbitrary :: Gen (DGraph v e)

shrink :: DGraph v e -> [DGraph v e]

(NFData v, NFData e) => NFData (DGraph v e)

Methods

rnf :: DGraph v e -> ()

type Rep (DGraph v e)

type Rep (DGraph v e) = D1 (MetaData "DGraph" "Data.Graph.DGraph" "graphite-0.5.0.1-3z4w8AwExNeDyjBTG0N6rM" True) (C1 (MetaCons "DGraph" PrefixI True) (S1 (MetaSel (Just Symbol "unDGraph") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 (HashMap v (Links v e)))))

insertArc :: (Hashable v, Eq v) => Arc v e -> DGraph v e -> DGraph v e

O(log n) Insert a directed Arc into a DGraph | The involved vertices are inserted if don't exist. If the graph already | contains the Arc, its attribute is updated

insertArcs :: (Hashable v, Eq v) => DGraph v e -> [Arc v e] -> DGraph v e

O(m*log n) Insert many directed Arcs into a DGraph | Same rules as insertArc are applied

removeArc :: (Hashable v, Eq v) => Arc v e -> DGraph v e -> DGraph v e

O(log n) Remove the directed Arc from a DGraph if present | The involved vertices are left untouched

removeArc' :: (Hashable v, Eq v) => (v, v) -> DGraph v e -> DGraph v e

Same as removeArc but the arc is an ordered pair

removeArcAndVertices :: (Hashable v, Eq v) => Arc v e -> DGraph v e -> DGraph v e

O(log n) Remove the directed Arc from a DGraph if present | The involved vertices are also removed

arcs :: forall v e. (Hashable v, Eq v) => DGraph v e -> [Arc v e]

O(n*m) Retrieve the Arcs of a DGraph

arcs' :: (Hashable v, Eq v) => DGraph v e -> [(v, v)]

Same as arcs but the arcs are ordered pairs, and their attributes are | discarded

containsArc :: (Hashable v, Eq v) => DGraph v e -> Arc v e -> Bool

O(log n) Tell if a directed Arc exists in the graph

containsArc' :: (Hashable v, Eq v) => DGraph v e -> (v, v) -> Bool

Same as containsArc but the arc is an ordered pair

inboundingArcs :: (Hashable v, Eq v) => DGraph v e -> v -> [Arc v e]

Retrieve the inbounding Arcs of a Vertex

outboundingArcs :: (Hashable v, Eq v) => DGraph v e -> v -> [Arc v e]

Retrieve the outbounding Arcs of a Vertex

incidentArcs :: (Hashable v, Eq v) => DGraph v e -> v -> [Arc v e]

Retrieve the incident Arcs of a Vertex | Both inbounding and outbounding arcs

isSymmetric :: DGraph v e -> Bool

Tell if a DGraph is symmetric | All of its Arcs are bidirected

isOriented :: DGraph v e -> Bool

Tell if a DGraph is oriented | There are none bidirected Arcs | Note: This is not the opposite of isSymmetric

vertexIndegree :: (Hashable v, Eq v) => DGraph v e -> v -> Int

Indegree of a vertex | The number of inbounding Arcs to a vertex

vertexOutdegree :: (Hashable v, Eq v) => DGraph v e -> v -> Int

Outdegree of a vertex | The number of outbounding Arcs from a vertex

indegrees :: (Hashable v, Eq v) => DGraph v e -> [Int]

Indegrees of all the vertices in a DGraph

outdegrees :: (Hashable v, Eq v) => DGraph v e -> [Int]

Outdegree of all the vertices in a DGraph

isBalanced :: (Hashable v, Eq v) => DGraph v e -> Bool

Tell if a DGraph is balanced | A Directed Graph is balanced when its indegree = outdegree

isRegular :: DGraph v e -> Bool

Tell if a DGraph is regular | A Directed Graph is regular when all of its vertices have the same number | of adjacent vertices AND when the indegree and outdegree of each vertex | are equal to each other.

isSource :: (Hashable v, Eq v) => DGraph v e -> v -> Bool

Tell if a vertex is a source | A vertex is a source when its indegree = 0

isSink :: (Hashable v, Eq v) => DGraph v e -> v -> Bool

Tell if a vertex is a sink | A vertex is a sink when its outdegree = 0

isInternal :: (Hashable v, Eq v) => DGraph v e -> v -> Bool

Tell if a vertex is internal | A vertex is a internal when its neither a source nor a sink

Transformations

transpose :: (Hashable v, Eq v) => DGraph v e -> DGraph v e

Get the transpose of a DGraph | The transpose of a directed graph is another directed graph where all of | its arcs are reversed

toUndirected :: (Hashable v, Eq v) => DGraph v e -> UGraph v e

Convert a directed DGraph to an undirected UGraph by converting all of | its Arcs into Edges

Lists

toList :: (Hashable v, Eq v) => DGraph v e -> [Arc v e]

Convert a DGraph to a list of Arcs | Same as arcs

fromList :: (Hashable v, Eq v) => [Arc v e] -> DGraph v e

Construct a DGraph from a list of Arcs