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
icon
Related questions
Question
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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,