Consider a bipartite network with N, and N, nodes in the two sets. (a) What is the maximum number of links L. the network can have? (b) How many links cannot occur compared to a non-bipartite net- work of size N = N, + N, ? (c) If N,«N,, what can you say about the network density, that is the total number of links over the maximum number of links, Lme? (d) Find an expression connecting N, N, and the average degree for the two sets in the bipartite network, (k,) and (k,).
Consider a bipartite network with N, and N, nodes in the two sets. (a) What is the maximum number of links L. the network can have? (b) How many links cannot occur compared to a non-bipartite net- work of size N = N, + N, ? (c) If N,«N,, what can you say about the network density, that is the total number of links over the maximum number of links, Lme? (d) Find an expression connecting N, N, and the average degree for the two sets in the bipartite network, (k,) and (k,).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Consider a bipartite network with N, and N, nodes in the two sets.
(a) What is the maximum number of links L.
the network can
have?
(b) How many links cannot occur compared to a non-bipartite net-
work of size N = N, + N, ?
(c) If N,«N, , what can you say about the network density, that is the
total number of links over the maximum number of links, Lma?
(d) Find an expression connecting N,, N, and the average degree for
the two sets in the bipartite network, (k,) and (k,).
2.
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