parents(MixedGraph,Thing) -- return the parents of a vertex of a mixed graph

Function: parents
Usage:

parents (G,v)
Inputs:
- G, an instance of the type MixedGraph,
- v, a thing, a vertex of G
Outputs:
- a set,

Description

The parents of v are the all the vertices u such that u,v is in the directed edge set of the MixedGraph G. So the parents of a vertex v are exactly those vertices of the largest digraph component of a mixed graph that point to v.

i1 : G = mixedGraph(graph{{3,1}},digraph {{1,2},{2,3}},bigraph {{3,4},{2,4}})

o1 = MixedGraph{Bigraph => Bigraph{2 => {4}   }}
                                   3 => {4}
                                   4 => {3, 2}
                Digraph => Digraph{1 => {2}}
                                   2 => {3}
                                   3 => {}
                Graph => Graph{1 => {3}}
                               3 => {1}

o1 : MixedGraph

i2 : parents (G,1)

o2 = set {}

o2 : Set

i3 : parents (G,2)

o3 = set {1}

o3 : Set

i4 : parents (G,3)

o4 = set {2}

o4 : Set

Ways to use this method:

parents(MixedGraph,Thing) -- return the parents of a vertex of a mixed graph

The source of this document is in StatGraphs.m2:1132:0.

parents(MixedGraph,Thing) -- return the parents of a vertex of a mixed graph

Description

See also

Ways to use this method: