Title
Distribution of Node Characteristics in Transfractal Network Systems and Additive Scale Invariance
Abstract
For studies of distribution of node characteristics, this paper supplies a random descriptive frame including assertive matrices and the bivariate Gaussian distribution of dyad variables. Based on the frame, we firstly find from numerical experiment that there exists the novel additive scale invariance in total (D,H)-phase diagrams of the Tran fractal network(DGM model), and compute the transfinite dimensionalities of semi major, semi minor axis and area in the region of (D,H)-phase diagram with an ellipse boundary. Additionally the compressive g-effect and the stationary T-effect of the total phase diagram in the Park-Barabasi's network model systems are obtained.
Year
DOI
Venue
2013
10.1109/SMC.2013.508
SMC
Keywords
Field
DocType
semi minor axis,bivariate gaussian distribution,ellipse boundary,transfractal network systems,random descriptive frame,transfractal networks,dyad variables,phase diagram,dgm model,park-barabasi network model systems,matrix algebra,gaussian distribution,assertive matrix,node characteristics distribution,stationary t-effect,compressive g-effect,phase diagrams,complex networks,assertive matrices,additive scale invariance,total phase diagram,network model system,tran fractal network,h)-phase diagrams,node characteristics,(d,network theory (graphs)
Scale invariance,Matrix (mathematics),Fractal,Diagram,Gaussian,Artificial intelligence,Bivariate analysis,Ellipse,Machine learning,Mathematics,Network model
Conference
ISSN
Citations 
PageRank 
1062-922X
0
0.34
References 
Authors
2
3
Name
Order
Citations
PageRank
Ying Tan100.34
Hong Luo210.82
Shou-Li Peng311.50