Network comparison of single cells (from sequencing data)
You can't build a network of a single cell only with the expression of a single cell. You either need previous known interactions or pathways or you need to use several cells/samples.
If you use previous known information, you can use pathway information, otherwise you can group some cells and use something along the lines of WGCNA to find a scale-free network.

In the first case one can add the expression upon it and see what is happening, what edges are kept and which ones not...



Once you have the network for each cell you can compare the metrics for each cell. Some metrics to look at are the centrality of each gene and the betweneess.
In a more general way, you can look if it follows a scale-free topology or other type of network structures, or how many nodes are present, how many edges are present...