The hypergraph gives strictly more information than the graph: it can distinguish between the case where Larry, Currie, and Moe wrote a joint paper from the case where Larry and Curlie wrote a paper and Curlie and Moe wrote a different paper.

The hypergraph gives strictly more information than the graph: it can distinguish between the case where Larry, Curly, and Moe wrote a joint paper from the case where Larry and Curly wrote a paper and Curly and Moe wrote a different paper.