Degree, Clustering Coefficient and Components (a) Consider an undirected network of size N in which each nod has degree k = 1. Which condition does N have to satisfy? What i the degree distribution of this network? How many component does the network have? (b) Consider now a network in which each node has degree k = : and clustering coefficient C = 1. How does the network look like What condition does N satisfy in this case?

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter9: Integer Programming
Section9.6: Solving Combinatorial Optimization Problems By The Branch-and-bound Method
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2.4. Degree, Clustering Coefficient and Components
(a) Consider an undirected network of size N in which each node
has degree k = 1. Which condition does N have to satisfy? What is
the degree distribution of this network? How many components
does the network have?
(b) Consider now a network in which each node has degree k = 2
and clustering coefficient C = 1. How does the network look like?
What condition does N satisfy in this case?
Transcribed Image Text:2.4. Degree, Clustering Coefficient and Components (a) Consider an undirected network of size N in which each node has degree k = 1. Which condition does N have to satisfy? What is the degree distribution of this network? How many components does the network have? (b) Consider now a network in which each node has degree k = 2 and clustering coefficient C = 1. How does the network look like? What condition does N satisfy in this case?
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