The even squarefree numbers form a maximum independent set in the squarefree graph, and the graph's vertices can be partitioned into cliques, each containing exactly one even vertex.
Chv´ atal, Intersecting families of edges in hypergraphs having the hereditary property, Hyper- graph Seminar: Ohio State University, Springer, 1974, pp
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The independence and clique cover numbers of the squarefree graph
The even squarefree numbers form a maximum independent set in the squarefree graph, and the graph's vertices can be partitioned into cliques, each containing exactly one even vertex.