ccgraph: Cayley colour graph

In multigraph: Plot and Manipulate Multigraphs

Cayley colour graph

Description

A function to create and manipulate bipartite Cayley colour graphs

Usage

ccgraph(x, main=NULL, seed=0, maxiter=100, alpha=c(1, 1, 1), scope, loops, 
        collRecip, undRecip, showLbs, cex.main, conc, coord, clu, cex, lwd, 
        pch, lty, bwd, bwd2, att, bg, mar, pos, asp, ecol, vcol, vcol0, lbs, 
        col, lbat, swp, swp2, scl, mirrorX, mirrorY, mirrorD, mirrorL, mirrorV, 
        mirrorH, rot, hds, vedist, ffamily, fstyle, fsize, fcol, nr, gens, ...)

Arguments

x	an algebraic structure, typically a "Semigroup" object class
main	(optional) title of the plot
seed	(optional) random seed number for the vertices' initial coordinates; ignored except for force, stress and rand
maxiter	(optional) maximum number of iterations in layout algorithms; ignored except for force, stress and rand
alpha	vector (vertex, edge, bg) with the alpha color transparency
scope	(optional) scope of the graph (see details)
loops	(optional, logical, and experimental) plot graph loops?
collRecip	(optional and logical) whether or not collapse reciprocated edges in the undirected graph
undRecip	(optional and logical) whether or not plot reciprocated edges as undirected
showLbs	(optional and logical) whether or not show the vertex labels when dimnames available
cex.main	(optional) size of the plot's title
conc	(optional and logical) whether the layout is concentric or not
coord	(optional) data frame with the coordinates of the vertices; if coordinates are given then the layout option is ignored
clu	(optional) clustering of the vertices (see details)
cex	(optional) size of the vertices
lwd	(optional) width of the edges; ignored if valued is set to TRUE
pch	(optional) symbol representing the vertices
lty	(optional) shape of the edges
bwd	(optional) width of the bundle edges. Ranges from 0 (edges collapsed) to the default 1 (depending on the vertices' size), and for valued a value greater than one is possible
bwd2	(optional) width of the bundle loop edges.
att	(optional) a vector or an array representing the vertex attributes
bg	(optional) background color of the plot
mar	(optional) margins of the plot
pos	(optional) position of the vertices' labels (0 means “at the center of the vertex”)
asp	(optional) aspect ratio of the plot
ecol	(optional) color of the edges
vcol	(optional) color of the vertices
vcol0	(optional) color of the vertices' contour (only works for pch 21 through 25
lbs	(optional) vertex labels
col	(optional) alias for vcol
lbat	(optional) labels for the vertex attributes
swp	(optional and logical) whether or not to swap the bundle patterns
swp2	(optional and logical) whether or not to swap reciprocals
scl	(optional and experimental) numerical scalar (x and y) or vector (x, y) of the graph's scale
mirrorX	(optional) mirror of the X axis
mirrorY	(optional) mirror of the Y axis
mirrorD	(optional) mirror reflection across diagonal Y=X
mirrorL	(optional) mirror reflection across diagonal Y=-X
mirrorV	same as mirrorX
mirrorH	same as mirrorY
rot	(optional) clockwise rotation of the graph in degrees
hds	(optional and experimental) arcs' head scale
vedist	(optional and experimental) a real number with vertex - edge distance
ffamily	the font family
fstyle	the font style
fsize	the font size
fcol	the font color
nr	for conc layout, number of radii
gens	(optional when absent) semigroup generators in x
...	Additional argument items (see e.g. par)

Details

The Cayley colour graph is a graphical representation of the relationships among relations in the relational structure of a given multiplex network. Both nodes and directed edges represent string relations, and each shape (and color) corresponds to a specific generator relation of the semigroup structure.

Value

A plot of the semigroup or group structure.

Author(s)

Antonio Rivero Ostoic

See Also

semigroup, multigraph, frcd, conc

Examples

## Create an abstract semigroup from random data
arr <- round( replace( array(runif(18), c(3,3,2)), array(runif(18),
       c(3,3,2))>.5, 1 ) )

S <- semigroup(arr)

## plot semigroup's Cayley graph
ccgraph(S)

multigraph documentation built on May 29, 2024, 7:09 a.m.