Let G = (V (G), E(G)) denote a finite simple (no loops or multiple edges) 
undirected
graph with vertices V (G) = {x 1 , . . . , x n } and edge set E(G) . By 
identifying the vertices
with the variables in the polynomial ring R = k[x 1 , . . . , x n ] (where 
k is a field), we can
associate to each simple graph G a monomial ideal I(G) = ({x i x j |{x i , 
x j } ∈ E(G)})

How to convert graph into ideal in sage ?

Please give some hint.


Thanks in advance

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