Document Detail


Algebraic approach to small-world network models.
MedLine Citation:
PMID:  24580286     Owner:  NLM     Status:  In-Data-Review    
Abstract/OtherAbstract:
We introduce an analytic model for directed Watts-Strogatz small-world graphs and deduce an algebraic expression of its defining adjacency matrix. The latter is then used to calculate the small-world digraph's asymmetry index and clustering coefficient in an analytically exact fashion, valid nonasymptotically for all graph sizes. The proposed approach is general and can be applied to all algebraically well-defined graph-theoretical measures, thus allowing for an analytical investigation of finite-size small-world graphs.
Authors:
Michelle Rudolph-Lilith; Lyle E Muller
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Publication Detail:
Type:  Journal Article     Date:  2014-01-28
Journal Detail:
Title:  Physical review. E, Statistical, nonlinear, and soft matter physics     Volume:  89     ISSN:  1550-2376     ISO Abbreviation:  Phys Rev E Stat Nonlin Soft Matter Phys     Publication Date:  2014 Jan 
Date Detail:
Created Date:  2014-03-03     Completed Date:  -     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  101136452     Medline TA:  Phys Rev E Stat Nonlin Soft Matter Phys     Country:  United States    
Other Details:
Languages:  eng     Pagination:  012812     Citation Subset:  IM    
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