Entropy maximization as a holistic design principle for complex optimal networks

AIChE Journal

Volumn 52, Issue 3, 2006, Pages 1004-1009

  Venkatasubramanian, Venkat ^a   Politis, Dimitris N ^b   Patkar, Priyan R ^a  

^a PURDUE UNIVERSITY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Complex networks; Complex systems; Degree distribution; Maximum Entropy Principle; Power law

Indexed keywords

COMPLEX NETWORKS; DEGREE DISTRIBUTION; MAXIMUM ENTROPY PRINCIPLE; POWER LAW;

ENTROPY; HUMAN ENGINEERING; LOGIC DESIGN; OPTIMAL SYSTEMS; POISSON DISTRIBUTION; UNCERTAIN SYSTEMS;

LARGE SCALE SYSTEMS;

ENTROPY; HUMAN ENGINEERING; LARGE SCALE SYSTEMS; LOGIC DESIGN; OPTIMAL SYSTEMS; POISSON DISTRIBUTION; UNCERTAIN SYSTEMS;

EID: 33645577759     PISSN: 00011541     EISSN: 15475905     Source Type: Journal    
DOI: 10.1002/aic.10693     Document Type: Review

References (19)

1. Albert R, Barabási A-L. Statistical mechanics of complex networks. Rev Modern Phys. 2002;74:47-97.
2. Jeong H, Tombor B, Albert R, Oltvai Z, Barabási A-L. The large-scale organization of metabolic networks. Nature. 2000;407:651-654.
3. Barabási A-L, Albert R. Emergence of scaling in complex networks. Science. 1999;286:509-512.
4. Carlson K, Doyle J. Highly optimized tolerance: Robustness and design in complex systems. Phys Rev Lett. 2000;84:2529-2532.
5. Newman MEJ, Girvan M, Farmer DJ. Optimal design, robustness, and risk aversion. Phys Rev Lett. 2002;89:028301:1-4.
6. Valverde S, Ferrer Cancho R, Sole RV. Scale-free networks from optimal design. Europhys Lett. 2001;60:512-517.
7. Venkatasubramanian V, Katare SR, Patkar PR, Mu F. Spontàneous emergence of complex optimal networks through evolutionary adaptation. Comput Chem Eng. 2004;28:1789-1798.
8. Ottino JM. Engineering complex systems. Nature. 2004;427:399.
9. Ottino JM. New tools, new outlooks, new opportunities. AIChE J. 2005:51;1840-1845.
10. Bollobás B. Random Graphs. London, UK: Academic Press; 1985.
11. Jaynes ET. Information theory and statistical mechanics. Phys Rev. 1957;106:620-630.
12. Jaynes ET. Information theory and statistical mechanics II. Phys Rev. 1957;108:171-190.
13. Cover TM, Thomas JA. Elements of Information Theory. New York, NY: Wiley; 1991.
14. Shannon CE, Weaver W. Mathematical Theory of Communication. Urbana, IL: University of Illinois Press; 1949.
15. Camacho J, Guimera R, Amaral LAN. Robust patterns in food web structure. Phys Rev Lett. 2002;88:228102:1-4.
16. Guimera R, Diaz-Guilera A, Vega-Redondo F, Cabrales A, Arenas A. Optimal network topologies for local search with congestion. Phys Rev Lett. 2002;89:248701.
17. Mossa S, Barthelemy M, Stanley HE, Amaral LAN. Truncation of power law behavior in "scale free" network models due to information filtering, Phys Rev Lett. 2002;88:138701:1-4.
18. Amaral LA, Scala A, Barthélémy M, Stanley HE. Classes of small-world networks. Proc Natl Acad Sci USA. 2000;97:11149-11152.
19. Buchanan M. Wealth happens. Harvard Business Rev. 2002;80:49.