Consider a bipartite network with N1 and N2 nodes in the two sets. What is the maximum number of links Lmax the network can have? How many links cannot occur compared to a non-bipartite network of sizeN=N1 +N2? If N1<

Database System Concepts
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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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Consider a bipartite network with N1 and N2 nodes in the two sets.

  1. What is the maximum number of links Lmax the network can have?

  2. How many links cannot occur compared to a non-bipartite network of sizeN=N1 +N2?

  3. If N1<<N2, what can you say about the network density, that is the total number of links over the maximum number of links, Lmax?

  4. Find an expression connecting N1, N2 and the average degree for the two sets in the bipartite network, 〈k1〉 and 〈k2〉.

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