Description Objects from the Class Slots Extends Methods Warning Note Author(s) See Also
A class for incidence matrix representation of general graphs
Objects can be created by calls of the form new("incidenceMatrix", I)
.
.Data
:Object of class "matrix"
; a column for each vertex and a row for each edge
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 = "incidenceMatrix")
:
constructs an incidence matrix representation of a general graph from a matrix of positive integers
signature(object = "incidenceMatrix")
: displays an incidence matrix representation
signature(x = "incidenceMatrix")
: gets the character vertex identifiers of an incidence matrix
signature(x = "incidenceMatrix")
: sets the character vertex identifiers of an incidence matrix
signature(object = "incidenceMatrix")
:
returns the number of vertices and the total number of edge occurrences in an incidence matrix
signature(object = "incidenceMatrix")
: an incidence matrix is empty if it has no columns
signature(x = "incidenceMatrix", y = "incidenceMatrix")
:
x and y are the same incidence matrix if they represent the same general graph
signature(el = "undirectedEdge", ou = "incidenceMatrix")
:
tells whether an undirected edge occurs in the graph represented by an incidence matrix
signature(el = "directedEdge", ou = "incidenceMatrix")
:
tells whether a directed edge occurs in the graph represented by an incidence matrix
signature(x = "incidenceList")
: extracts the incidence matrix of an induced subgraph
signature(x = "incidenceList")
: extracts the character identifier of a vertex
signature(from = "incidenceList", to = "incidenceMatrix")
:
converts an incidence list to an incidence matrix by dropping all but undirected and directed edges
signature(from = "adjacencyList", to = "incidenceMatrix")
:
converts an adjacency list to an incidence matrix
signature(from = "adjacencyMatrix", to = "incidenceMatrix")
:
converts and adjacency matrix to an incidence matrix
signature(e1 = "incidenceMatrix", e2 = "vertexSet")
:
adds a vertex set to an incidence matrix by making the new vertices isolated
signature(e1 = "incidenceMatrix", e2 = "vertexSet")
:
removes a vertex set from an incidence matrix by dropping all edges involving the vertex set
signature(e1 = "incidenceMatrix", e2 = "undirectedEdge")
: adds an undirected edge to an incidence matrix
signature(e1 = "incidenceMatrix", e2 = "directedEdge")
: adds a directed edge to an incidence matrix
signature(e1 = "incidenceMatrix", e2 = "undirectedEdge")
:
removes an undirected edge from an incidence matrix
signature(e1 = "incidenceMatrix", e2 = "directedEdge")
:
removes a directed edge from an incidence matrix
signature(e1 = "incidenceMatrix", e2 = "vertexSet")
:
restricts an incidence matrix to a vertex set by dropping all edges involving vertices outside the vertex set
All zero input rows are discarded 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
incidenceMatrix
and generalGraph-class
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