I've seen a good number of articles, either published acadenic papers or simply discussions on social media speak about how Metcalfe's law (and occasionally Zipf's law) may have utility is valuing the Bitcoin network. 

Many of these studies deviate from the original point of Metcalfe's law, so I decided to do my own analysis which you can find at the following link:

https://erlendd.github.io/2018/02/13/metcalfe_zipf_law_btc_eth.html