Arborescence.Models.Specialized 0.16.1

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dotnet add package Arborescence.Models.Specialized --version 0.16.1

NuGet\Install-Package Arborescence.Models.Specialized -Version 0.16.1

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<PackageReference Include="Arborescence.Models.Specialized" Version="0.16.1" />

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paket add Arborescence.Models.Specialized --version 0.16.1

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#r "nuget: Arborescence.Models.Specialized, 0.16.1"

#r directive can be used in F# Interactive and Polyglot Notebooks. Copy this into the interactive tool or source code of the script to reference the package.

// Install Arborescence.Models.Specialized as a Cake Addin
#addin nuget:?package=Arborescence.Models.Specialized&version=0.16.1

// Install Arborescence.Models.Specialized as a Cake Tool
#tool nuget:?package=Arborescence.Models.Specialized&version=0.16.1

The NuGet Team does not provide support for this client. Please contact its maintainers for support.

Models.Specialized — Arborescence Graph Library

This package provides an efficient implementation of Out-Edges Incidence and Out-Neighbors Adjacency for a special case of integer vertices from contiguous range.

        ┌   tail : E → V?
Graph   ┤
        └   head : E → V?       ┐
                                ├   Forward Incidence
            out-edges : V → [E] ┘

            out-neighbors: V → [V]

Int32AdjacencyGraph represents a directed multigraph (permitting loops) with edges not having their own identity [1].
Int32IncidenceGraph represents a directed multigraph (permitting loops) with edges having their own identity [2].

Vertices are represented as integers and must fill the range [0..VertexCount).
Edges are stored as incidence lists in contiguous spans.

Basic usage

Let's consider this simple graph:

       ┌──>──┐
(0)   (1)─>─(2)─>─(3)┐
       └──<──┘     └<┘

This is how to recreate it in the code:

Endpoints<int>[] edges =
{
    new(1, 2),
    new(1, 2),
    new(2, 1),
    new(2, 3),
    new(3, 3)
};
Int32AdjacencyGraph graph =
    Int32AdjacencyGraphFactory.FromEdges(edges);
Console.WriteLine(graph.VertexCount);

The expected output is 4 — including vertex 0, even if it was not specified when creating the graph. The number of vertices is determined as one plus the maximum id of the vertices, so they fill the range [0..VertexCount).

Now let's explore the edges incident to vertex 2:

const int vertex = 2;
var edgeEnumerator = graph.EnumerateOutEdges(vertex);
while (edgeEnumerator.MoveNext())
{
    var edge = edgeEnumerator.Current;
    Debug.Assert(graph.TryGetTail(edge, out int tail) &&
        tail == vertex);
    if (graph.TryGetHead(edge, out int head))
        Console.WriteLine(head);
}

The expected output — all the neighbors of vertex 2:

1
3

[1] https://en.wikipedia.org/wiki/Multigraph#Directed_multigraph_(edges_without_own_identity)

[2] https://en.wikipedia.org/wiki/Multigraph#Directed_multigraph_(edges_with_own_identity)

Product	Compatible and additional computed target framework versions.
.NET	net5.0 was computed. net5.0-windows was computed. net6.0 is compatible. net6.0-android was computed. net6.0-ios was computed. net6.0-maccatalyst was computed. net6.0-macos was computed. net6.0-tvos was computed. net6.0-windows was computed. net7.0 was computed. net7.0-android was computed. net7.0-ios was computed. net7.0-maccatalyst was computed. net7.0-macos was computed. net7.0-tvos was computed. net7.0-windows was computed. net8.0 was computed. net8.0-android was computed. net8.0-browser was computed. net8.0-ios was computed. net8.0-maccatalyst was computed. net8.0-macos was computed. net8.0-tvos was computed. net8.0-windows was computed.
.NET Core	netcoreapp3.0 was computed. netcoreapp3.1 was computed.
.NET Standard	netstandard2.1 is compatible.
MonoAndroid	monoandroid was computed.
MonoMac	monomac was computed.
MonoTouch	monotouch was computed.
Tizen	tizen60 was computed.
Xamarin.iOS	xamarinios was computed.
Xamarin.Mac	xamarinmac was computed.
Xamarin.TVOS	xamarintvos was computed.
Xamarin.WatchOS	xamarinwatchos was computed.