is3Connected -- whether a matroid is 3-connected

Usage:

is3Connected M
Inputs:
- M, a matroid,
Outputs:
- a Boolean value, whether M is 3-connected

Description

A matroid M is called m-connected if M has no k-separations for k < m (see getSeparation for the definition of a k-separation). Thus a matroid is 3-connected if it has no 2-separations (or 1-separations).

i1 : U1 = uniformMatroid(1, 4)

o1 = a "matroid" of rank 1 on 4 elements

o1 : Matroid

i2 : isConnected U1

o2 = true

i3 : is3Connected U1

o3 = false

i4 : is3Connected matroid completeMultipartiteGraph {3,3}

o4 = true

Ways to use is3Connected:

is3Connected(Matroid)

For the programmer

The object is3Connected is a method function.

The source of this document is in Matroids/doc-Matroids.m2:1850:0.

is3Connected -- whether a matroid is 3-connected

Description

See also

Ways to use is3Connected:

For the programmer