NDLI: Towards understanding the dynamics of complex networks: An entropic and Markovian view

Content Provider	IEEE Xplore Digital Library
Author	Dajun Qian Junshan Zhang Chandrashekhar, T.P.S.
Copyright Year	2010
Description	Author affiliation: School of Electrical, Computer and Energy Engineering, Arizona State University, Tempe, 85287, USA (Dajun Qian; Junshan Zhang; Chandrashekhar, T.P.S.)
Abstract	How do complex networks evolve? Is there a mathematically rigorous approach to naturally capture the microscopic behaviors of network dynamics and yet it can still lead to tractable analysis of the marcoscopic behaviors in large-scale complex networks? Aiming to obtain a fundamental understanding of network dynamics, we study network evolution from an entropic and Markovian perspective. Specifically, we first take a network entropy maximization (NEM) view to examine network steady state characteristics, in terms of degree distributions, and explore the underlying rationale connecting network entropy and widely observed phenomena, such as power law degree distributions, exponential degree distributions and Weibull degree distributions. Next, to capture the microscopic behaviors of network dynamics, we develop a two timescale Markov model where link generation and deletion takes place on a smaller timescale and new node arrivals (i.e., the network size grows) occur on a larger timescale. This two timescale model provides a natural platform to study both microscopic and macroscopic behaviors of network dynamics. Indeed, the corresponding graph dynamics offers a general framework towards understanding many transient network characteristics, such as network densification, which remain not well understood.
Starting Page	1562
Ending Page	1569
File Size	437925
Page Count	8
File Format	PDF
ISBN	9781424482153
e-ISBN	9781424482160
DOI	10.1109/ALLERTON.2010.5707099
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-09-29
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Microscopy Complex networks Markov processes Entropy Steady-state Mathematical model Transient analysis
Content Type	Text
Resource Type	Article

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