Description Objects from the Class Slots Extends Methods Warning Note Author(s) See Also
A class for adjacency matrix representation of simple-graphs
Objects can be created by calls of the form new("adjacencyMatrix",X)
.
.Data
:Object of class "matrix"
; standard 0-1 coding
for ordinary directed and undirected edges
Class "matrix"
, from data part.
Class "structure"
, by class "matrix"
.
Class "array"
, by class "matrix"
.
Class "vector"
, by class "matrix", with explicit coerce.
signature(.Object = "adjacencyMatrix")
:
constructs an adjacency matrix representation of a simple-graph from a 0-1 matrix
signature(object = "adjacencyMatrix")
: displays an adjacency matrix representation
signature(x = "adjacencyMatrix")
: gets the character vertex identifiers of an adjacency matrix
signature(x = "adjacencyMatrix")
: sets the character vertex identifiers of an adjacency matrix
signature(object = "adjacencyMatrix")
:
returns the number of vertices and the total number of edges (directed and undirected) in an incidence matrix
signature(object = "adjacencyMatrix")
:
an adjacency matrix is empty if it has no entries
signature(el = "undirectedEdge", ou = "adjacencyMatrix")
:
tells whether an undirected edge occurs in the graph represented by an adjacency matrix
signature(el = "directedEdge", ou = "adjacencyMatrix")
:
tells whether a directed edge occurs in the graph represented by an adjacency matrix
signature(x = "adjacencyMatrix", y = "adjacencyMatrix")
:
x and y are the same adjacency matrix if they represent the same simple-graph
signature(x = "adjacencyMatrix")
: extracts the adjacency matrix of an induced subgraph
signature(x = "adjacencyMatrix")
: extracts the character identifier of a vertex
signature(from = "incidenceList", to = "adjacencyMatrix")
:
converts an incidence list to an adjacency matrix by keeping ordinary directed and undirected edges
and dropping loops and parallel edges
signature(from = "incidenceMatrix", to = "adjacencyMatrix")
:
converts an incidence matrix to an adjacency matrix by dropping hyper-edges, loops and parallel edges
signature(from = "adjacencyList", to = "adjacencyMatrix")
:
converts an adjacency list to an adjacency matrix by dropping loops and parallel edges
signature(e1 = "adjacencyMatrix", e2 = "vertexSet")
:
adds a vertex set to an adjacency matrix by making the new vertices isolated
signature(e1 = "adjacencyMatrix", e2 = "vertexSet")
:
removes a vertex set from an adjacency matrix by dropping all edges involving the vertex set
signature(e1 = "adjacencyMatrix", e2 = "undirectedEdge")
:
adds an ordinary undirected edge (not a loop) to an adjacency matrix
signature(e1 = "adjacencyMatrix", e2 = "directedEdge")
:
adds an ordinary directed edge to an adjacency matrix
signature(e1 = "adjacencyMatrix", e2 = "undirectedEdge")
:
removes an undirected edge from an adjacency matrix
signature(e1 = "adjacencyMatrix", e2 = "directedEdge")
:
removes a directed edge from an adjacency matrix
signature(e1 = "adjacencyMatrix", e2 = "vertexSet")
:
restricts an adjacency matrix to a vertex set by dropping all edges involving vertices outside the vertex set
All input non-zero diagonal entries are silently changed to zero by the constructor.
The names<-
replacement method works only if the names to be assigned
can be used to construct a vertexSet
object having the right cardinality,
otherwise the names are left unchanged and a warning message is given.
Jens Henrik Badsberg, Claus Dethlefsen, Luca La Rocca
adjacencyMatrix
and simpleGraph-class
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