hasse: Hasse Diagram of Set of Ordered Relations

In multiplex: Algebraic Tools for the Analysis of Multiple Social Networks

Hasse Diagram of Set of Ordered Relations

Description

A function to plot the Hasse Diagram of partially ordered relations.

Usage

hasse(x, concept, attrs = NULL, main = NULL, incmp, shape = c("rectangle", 
    "circle", "box", "ellipse"), col, col0, fcol, ecol, lty, 
    lbs, ffamily, fstyle, fsize, cex.main, col.main, bg, mar, 
    sep, ...)

Arguments

x	An object of the “Partial.Order” class or a matrix representing ordered relations.
concept	(optional and logical) Plot a concept diagram?
attrs	(optional) Attributes for diagram.
main	(optional) Title of diagram.
incmp	(optional and logical) Include incomparable elements Hasse diagram?
shape	Shape of diagram vertices, otherwise “rectangle”: rectangle circle box ellipse
col	(optional) Colour of diagram vertices.
col0	(optional) Colour of vertices contour.
fcol	(optional) Font colour in vertices.
ecol	(optional) Edges colour in diagram.
lty	(optional) Edges shape in diagram.
lbs	(optional) Assign labels to elements in x.
ffamily	(optional) Font family of vertex labels.
fstyle	(optional) Font style of vertex labels: bold italic bolditalic
fsize	(optional) Font size of vertex labels.
cex.main	(optional) Font size of main title.
col.main	(optional) Font colour of main title.
bg	(optional) Background colour.
mar	(optional) Margins of diagram plot.
sep	(optional, for concept lattice) Pair separator for pairwise relations inside intents and extents.
...	(optional) Additional graphical items.

Details

A Hasse diagram is a pictorical device to represent systems of partially ordered relations where the hasse function provides arguments for visual manipulation of the diagram. An example of a partially ordered system is the partial order table that is the outcome of the ‘strings’ option in the partial.order function.

Roman numerals are given for elements when the partial order table is not labelled.

Value

A plot of a Hasse diagram with specified settings for a partial or a linear order of relations.

Note

This function requires Rgraphviz package installed.

See Also

diagram, partial.order, strings, galois, green.rel, diagram.levels, as.strings.

Examples

# load a dataset
data("incubA")

# a partial order of strings from dataset image matrix
po <- incubA |> getElement("IM") |> 
  as.strings() |> 
  partial.order(type="strings")

# plot the order relation as a Hasse diagram
## Not run: if(require(Rgraphviz)) {
plot(hasse(po))
}
## End(Not run)

multiplex documentation built on July 30, 2026, 5:13 p.m.