Various methods for creating graphs
These method can create various (mostly regular) graphs: empty graphs, graphs with the given edges, graphs from adjacency matrices, star graphs, lattices, rings, trees.
graph.empty(n=0, directed=TRUE) graph(edges, n=max(edges)+1, directed=TRUE) graph.star(n, mode = "in", center = 0) graph.lattice(dimvector, nei = 1, directed = FALSE, mutual = FALSE, circular = FALSE) graph.lattice(length, dim, nei = 1, directed = FALSE, mutual = FALSE, circular = FALSE) graph.ring(n, directed = FALSE, mutual = FALSE, circular=TRUE) graph.tree(n, children = 2, mode="out") graph.full(n, directed = FALSE, loops = FALSE) graph.full.citation(n, directed = TRUE) graph.atlas(n) graph.edgelist(el, directed=TRUE) graph.extended.chordal.ring(n, w)
- Numeric vector defining the edges, the first edge points from the first element to the second, the second edge from the third to the fourth, etc.
- Logical, if TRUE a directed graph will be
created. Note that for while most constructors the default is TRUE,
graph.ringit is FALSE. For
- The number of vertices in the graph for most functions.
graphthis parameter is ignored if there is a bigger vertex id in
edges. This means that for this function it is safe to supply zero here if the vertex with
graph.starit defines the direction of the edges,
in: the edges point to the center,
out: the edges point from the center,
undirected: the edges are undirected.
graph.starthe center vertex of the graph, by default the first vertex.
- A vector giving the size of the lattice in each
- The distance within which (inclusive) the neighbors on the lattice will be connected. This parameter is not used right now.
- Logical, if TRUE directed lattices will be mutually connected.
- Logical, if TRUE the lattice or ring will be circular.
- Integer constant, for regular lattices, the size of the lattice in each dimension.
- Integer constant, the dimension of the lattice.
- Integer constant, the number of children of a vertex
(except for leafs) for
- If TRUE also loops edges (self edges) are added.
- An object.
- An edge list, a two column matrix, character or numeric. See details below.
- A matrix which specifies the extended chordal ring. See details below.
All these functions create graphs in a deterministic way.
graph.empty is the simplest one, this creates an empty graph.
graph creates a graph with the given edges.
graph.star creates a star graph, in this every single vertex is
connected to the center vertex and nobody else.
graph.lattice is a flexible function, it can create lattices of
arbitrary dimensions, periodic or unperiodic ones.
graph.ring is actually a special case of
it creates a one dimensional circular lattice.
graph.tree creates regular trees.
graph.full simply creates full graphs.
graph.full.citation creates a full citation graph. This is a
directed graph, where every i->j edge is present if and only if j
graph.atlas creates graphs from the book An Atlas of Graphs by
Roland C. Read and Robin J. Wilson. The atlas contains all undirected
graphs with up to seven vertices, numbered from 0 up to 1252. The
graphs are listed:
graph.edgelist creates a graph from an edge list. Its argument
is a two-column matrix, each row defines one edge. If it is
a numeric matrix then its elements are interpreted as vertex ids. If
it is a character matrix then it is interpreted as symbolic vertex
names and a vertex id will be assigned to each name, and also a
name vertex attribute will be added.
graph.extended.chordal.ring creates an extended chordal ring.
An extended chordal ring is regular graph, each node has the same
degree. It can be obtained from a simple ring by adding some extra
edges specified by a matrix. Let p denote the number of columns in
are added according to column
i mod p in
j an edge
i->i+w[ij] is added if
i+w[ij] is less than the number
of total nodes. See also Kotsis, G: Interconnection Topologies for
Parallel Processing Systems, PARS Mitteilungen 11, 1-6, 1993.
- Every function documented here returns a
- Star graph
- Graph Atlas
- Empty graph
- Full graph
graph.lattice(dimvector = NULL, length = NULL, dim = NULL, nei = 1, directed = FALSE, mutual = FALSE, circular = FALSE, ...)
g1 <- graph.empty() g2 <- graph( c(1,2,2,3,3,4,5,6), directed=FALSE ) g5 <- graph.star(10, mode="out") g6 <- graph.lattice(c(5,5,5)) g7 <- graph.lattice(length=5, dim=3) g8 <- graph.ring(10) g9 <- graph.tree(10, 2) g10 <- graph.full(5, loops=TRUE) g11 <- graph.full.citation(10) g12 <- graph.atlas(sample(0:1252, 1)) el <- matrix( c("foo", "bar", "bar", "foobar"), nc=2, byrow=TRUE) g13 <- graph.edgelist(el) g15 <- graph.extended.chordal.ring(15, matrix(c(3,12,4,7,8,11), nr=2))