DocumentCode
2531742
Title
The Analytical Solution of the Average Distance for Delayed Deterministic Recursive Trees
Author
Wang, Ran ; Shen, Jindong ; Sun, Weigang
Author_Institution
Dept. of Math., Shanghai Univ., Shanghai, China
fYear
2011
fDate
19-22 Oct. 2011
Firstpage
125
Lastpage
129
Abstract
On the basis of the recursive trees, we propose a kind of delayed recursive trees with the feature that not all the existing nodes produce new nodes in each evolving step. Using the solutions of difference equation, the analytical expression of the average distance is obtained. This family of delayed recursive trees exhibits small-world characteristics. In addition, the average distance of this delayed trees is smaller than that of the recursive trees.
Keywords
difference equations; trees (mathematics); average distance; delayed deterministic recursive tree; difference equation; Complex networks; Difference equations; Fractals; Mathematical model; Sun; Synchronization; average distance; complex network; recursive trees;
fLanguage
English
Publisher
ieee
Conference_Titel
Chaos-Fractals Theories and Applications (IWCFTA), 2011 Fourth International Workshop on
Conference_Location
Hangzhou
Print_ISBN
978-1-4577-1798-7
Type
conf
DOI
10.1109/IWCFTA.2011.98
Filename
6093506
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