From the R igraph documentation, I see that I have a components and I have a clusters function, both of which are described as "Connected components of a graph" and link out to the same documentation (https://igraph.org/r/doc/). I tried them on my data, and I also get the same cluster membership results.
Are these two functions equivalent or is there a subtle difference I am missing? (I am a complete igraph newbie!)
clusters is the older name of the function. It was at one point renamed to components, which is the standard term in graph theory. The old name was kept for compatibility.