scholarly journals Modulus on graphs as a generalization of standard graph theoretic quantities

2015 ◽  
Vol 19 (13) ◽  
pp. 298-317 ◽  
Author(s):  
Nathan Albin ◽  
Megan Brunner ◽  
Roberto Perez ◽  
Pietro Poggi-Corradini ◽  
Natalie Wiens
Keyword(s):  
Graph Theoretic ◽  
Standard Graph

scholarly journals Network models of massive datasets

2004 ◽  
Vol 1 (1) ◽  
pp. 75-89 ◽  
Author(s):  
Vladimir Boginski ◽  
Sergiy Butenko ◽  
Panos Pardalos
Keyword(s):  
Power Law ◽  
Network Models ◽  
Massive Datasets ◽  
Graph Theoretic ◽  
Global Organization ◽  
Standard Graph

We give a brief overview of the methodology of modeling massive datasets arising in various applications as networks. This approach is often useful for extracting non-trivial information from the datasets by applying standard graph-theoretic techniques. We also point out that graphs representing datasets coming from diverse practical fields have a similar power-law structure, which indicates that the global organization and evolution of massive datasets arising in various spheres of life nowadays follow similar natural principles.

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