deleteEdges -- returns the (hyper)graph with specified edges removed

Usage:

h = deleteEdges(H, S)
Inputs:
- H, a hypergraph,
- S, a list, a subset of the edges of the graph or hypergraph
Outputs:
- h, a hypergraph, the hypergraph with edges in S removed

Description

This function enables the user to remove specified edges from a hypergraph to form a subhypergraph.

i1 : S = QQ[a,b,c,d,e];

i2 : g = cycle S

o2 = Graph{"edges" => {{a, b}, {b, c}, {c, d}, {d, e}, {a, e}}}
           "ring" => S
           "vertices" => {a, b, c, d, e}

o2 : Graph

i3 : T = {{a,b},{d,e}}

o3 = {{a, b}, {d, e}}

o3 : List

i4 : gprime = deleteEdges (g,T)

o4 = HyperGraph{"edges" => {{b, c}, {a, e}, {c, d}}}
                "ring" => S
                "vertices" => {a, b, c, d, e}

o4 : HyperGraph

i5 : h = hyperGraph {a*b*c,c*d*e,a*e}

o5 = HyperGraph{"edges" => {{a, b, c}, {a, e}, {c, d, e}}}
                "ring" => S
                "vertices" => {a, b, c, d, e}

o5 : HyperGraph

i6 : T = edges h

o6 = {{a, b, c}, {a, e}, {c, d, e}}

o6 : List

i7 : hprime = deleteEdges (h,T)

o7 = HyperGraph{"edges" => {}                }
                "ring" => S
                "vertices" => {a, b, c, d, e}

o7 : HyperGraph

Ways to use deleteEdges:

deleteEdges(HyperGraph,List)

For the programmer

The object deleteEdges is a method function.

The source of this document is in EdgeIdeals.m2:2426:0.