Study of the relationship between specific volume and composition for alkali metal oxide-silica and alkali metal fluoride-beryllium fluoride glasses with a random graph model

1991 ◽  
Vol 113 (2) ◽  
pp. 395-397 ◽  
Author(s):  
Juan Jose Meghirditchian
Author(s):  
Mark Newman

An introduction to the mathematics of the Poisson random graph, the simplest model of a random network. The chapter starts with a definition of the model, followed by derivations of basic properties like the mean degree, degree distribution, and clustering coefficient. This is followed with a detailed derivation of the large-scale structural properties of random graphs, including the position of the phase transition at which a giant component appears, the size of the giant component, the average size of the small components, and the expected diameter of the network. The chapter ends with a discussion of some of the shortcomings of the random graph model.


2004 ◽  
Vol 30 (9) ◽  
pp. 717-718 ◽  
Author(s):  
V. I. Kapustin ◽  
V. S. Petrov ◽  
A. A. Chernousov

2016 ◽  
Vol 234 ◽  
pp. 61-72 ◽  
Author(s):  
He Han ◽  
Min Liu ◽  
Xiaowa Nie ◽  
Fanshu Ding ◽  
Yiren Wang ◽  
...  

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