package catala
Install
Dune Dependency
Authors
Maintainers
Sources
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doc/catala.desugared/Desugared/Dependency/ExceptionsDependencies/index.html
Module Dependency.ExceptionsDependencies
Source
A persistent graph is a graph.
include Graph.Sig.G
with type V.t = ExceptionVertex.t
with type E.label = EdgeExceptions.t
Graph structure
Abstract type of graphs
Vertices have type V.t
and are labeled with type V.label
(note that an implementation may identify the vertex with its label)
Edges have type E.t
and are labeled with type E.label
. src
(resp. dst
) returns the origin (resp. the destination) of a given edge.
Is this an implementation of directed graphs?
Size functions
Degree of a vertex
Membership functions
find_edge g v1 v2
returns the edge from v1
to v2
if it exists. Unspecified behaviour if g
has several edges from v1
to v2
.
find_all_edges g v1 v2
returns all the edges from v1
to v2
.
Successors and predecessors
You should better use iterators on successors/predecessors (see Section "Vertex iterators").
Labeled edges going from/to a vertex
Graph iterators
Iter on all edges of a graph. Edge label is ignored.
Fold on all edges of a graph. Edge label is ignored.
Map on all vertices of a graph.
The current implementation requires the supplied function to be injective. Said otherwise, map_vertex
cannot be used to contract a graph by mapping several vertices to the same vertex. To contract a graph, use instead create
, add_vertex
, and add_edge
.
Vertex iterators
Each iterator iterator f v g
iters f
to the successors/predecessors of v
in the graph g
and raises Invalid_argument
if v
is not in g
. It is the same for functions fold_*
which use an additional accumulator.
<b>Time complexity for ocamlgraph implementations:</b> operations on successors are in O(1) amortized for imperative graphs and in O(ln(|V|)) for persistent graphs while operations on predecessors are in O(max(|V|,|E|)) for imperative graphs and in O(max(|V|,|E|)*ln|V|) for persistent graphs.
iter/fold on all successors/predecessors of a vertex.
iter/fold on all edges going from/to a vertex.
add_vertex g v
adds the vertex v
to the graph g
. Just return g
if v
is already in g
.
remove g v
removes the vertex v
from the graph g
(and all the edges going from v
in g
). Just return g
if v
is not in g
.
<b>Time complexity for ocamlgraph implementations:</b> O(|V|*ln(|V|)) for unlabeled graphs and O(|V|*max(ln(|V|),D)) for labeled graphs. D is the maximal degree of the graph.
add_edge g v1 v2
adds an edge from the vertex v1
to the vertex v2
in the graph g
. Add also v1
(resp. v2
) in g
if v1
(resp. v2
) is not in g
. Just return g
if this edge is already in g
.
add_edge_e g e
adds the edge e
in the graph g
. Add also E.src e
(resp. E.dst e
) in g
if E.src e
(resp. E.dst e
) is not in g
. Just return g
if e
is already in g
.
remove_edge g v1 v2
removes the edge going from v1
to v2
from the graph g
. If the graph is labelled, all the edges going from v1
to v2
are removed from g
. Just return g
if this edge is not in g
.