Netflix keeps data on customer preferences using a big bipartite network connecting users to titles they have watched and/or rated. Netflix’s movie library contains approximately 100,000 titles if you count streaming and DVD-by-mail. In the fourth quarter of 2013, Netflix reported having about 33 million users. (a) Assume the average user’s degree in this network is 1000. Approximately how many links are in this network? Would you consider this network sparse or dense? Explain. (b) Suppose that from 2013 to 2014 Netflix’s library has remained the same size, while the number of users has increased. Further, suppose that the average user’s degree in this network has remained constant. Has the density of this network increased, decreased, or stayed the same?
Netflix keeps data on customer preferences using a big bipartite network connecting users to titles they have watched and/or rated. Netflix’s movie library contains approximately 100,000 titles if you count streaming and DVD-by-mail. In the fourth quarter of 2013, Netflix reported having about 33 million users.
(a) Assume the average user’s degree in this network is 1000. Approximately how many links are in this network? Would you consider this network sparse or dense? Explain.
(b) Suppose that from 2013 to 2014 Netflix’s library has remained the same size, while the number of users has increased. Further, suppose that the average user’s degree in this network has remained constant. Has the density of this network increased, decreased, or stayed the same?
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