Graphviz subgraph doesn’t get visualized

You’ll have to prefix the name of your subgraphs with cluster:

subgraph clusterstep1 {

and

subgraph clusterstep2 {

in order to get the style and label.

From the graphiz documentation, section “Subgraphs and Clusters”:

The third role for subgraphs directly involves how the graph will be
laid out by certain layout engines. If the name of the subgraph begins
with cluster, Graphviz notes the subgraph as a special cluster
subgraph
. If supported, the layout engine will do the layout so that
the nodes belonging to the cluster are drawn together, with the entire
drawing of the cluster contained within a bounding rectangle. Note
that, for good and bad, cluster subgraphs are not part of the DOT
language, but solely a syntactic convention adhered to by certain of
the layout engines.

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