<P> Despite many arguments about Metcalfe' law, no real data based evidence for or against was available for more than 30 years . Only in July 2013, Dutch researchers managed to analyze European Internet usage patterns over a long enough time and found n proportionality for small values of n and (n × log n) proportionality for large values of n . A few months later, Metcalfe himself provided further proof, as he used Facebook's data over the past 10 years to show a good fit for Metcalfe's law (the model is n). </P> <P> In 2015, Zhang, Liu and Xu extend Metcalfe's results utilizing data from Tencent, China's largest social network company, and Facebook . Their work showed that Metcalfe's law held for both, despite the difference in audience between the two sites; Facebook serving a worldwide audience and Tencent serving only Chinese users . The Metcalfe's functions of the two sites given in the paper were V T e n c e n t = 7.39 × 10 − 9 × n 2 (\ displaystyle V_ (Tencent) = 7.39 \ times 10 ^ (- 9) \ times n ^ (2)) and V F a c e b o o k = 5.70 × 10 − 9 × n 2 (\ displaystyle V_ (Facebook) = 5.70 \ times 10 ^ (- 9) \ times n ^ (2)) respectively . </P>

Metcalfe's law a network becomes more valuable as it reaches more users