Control profiles of complex networks

Science

Volumn 343, Issue 6177, 2014, Pages 1373-1376

  Ruths, Justin ^a   Ruths, Derek ^b  

^a SINGAPORE UNIVERSITY OF TECHNOLOGY AND DESIGN   (Singapore)

^b MCGILL UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

COMPLEXITY; NETWORK ANALYSIS; NETWORK DESIGN; TOPOLOGY;

ALGORITHM; ARTICLE; CONTROL SYSTEM; CONTROLLED STUDY; HUMAN; PRIORITY JOURNAL; PROBABILITY; RANDOMIZATION; SOCIAL NETWORK; BRAIN; COMPUTER SIMULATION; NERVE CELL NETWORK; PHYSIOLOGY; SOCIAL SUPPORT; STATISTICAL MODEL; SYSTEM ANALYSIS; SYSTEMS THEORY; THEORETICAL MODEL; TRAFFIC AND TRANSPORT;

ALGORITHMS; BRAIN; COMPUTER SIMULATION; HUMANS; LINEAR MODELS; MODELS, THEORETICAL; NERVE NET; SOCIAL SUPPORT; SYSTEMS ANALYSIS; SYSTEMS THEORY; TRANSPORTATION;

EID: 84896916869     PISSN: 00368075     EISSN: 10959203     Source Type: Journal    
DOI: 10.1126/science.1242063     Document Type: Article

References (25)

1. Y.-Y. Liu, J.-J. Slotine, A.-L. Barabási, Nature 473, 167-173 (2011).
2. M. Pósfai, Y.-Y. Liu, J.-J. Slotine, A.-L. Barabási, Sci. Rep. 3, 1067 (2013).
3. T. Jia et al., Nat. Commun. 4, 2002 (2013).
4. D) (1).
5. C.-T. Lin, IEEE Trans. Automat. Contr. AC-19, 201-208 (1974).
6. The structure capturing the propagation of control, composed of stems, cycles, and buds, is called cacti. Each cactus within the cacti contains only one stem and any number of cycles and buds (see supplementary text).
7. C. Commault, J.-M. Dion, J. W. Van der Woude, Kybernetika 38, 503-520 (2002).
8. An immediate extension can be made to accommodate disconnected nodes as stems of unit length, acting as both a source and sink.
9. i). See supplementary text for more discussion.
10. P. Erdös, A. Renyi, Publicationes Mathematicae 6, 290-297 (1959).
11. A.-L. Barabási, R. Albert, Science 286, 509-512 (1999).
12. M. O. Jackson, B. W. Rogers, Am. Econ. Rev. 97, 890-915 (2007).
13. I. Ispolatov, P. L. Krapivsky, A. Yuryev, Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 71, 061911 (2005).
14. Edge orientation is a matter of convention; see supplementary text for discussion on the sensitivity of our results to edge reversals.
15. S. Vitali, J. B. Glattfelder, S. Battiston, PLOS ONE 6, e25995 (2011).
16. N. E. Friedkin, A Structural Theory of Social Influence (Cambridge Univ. Press, Cambridge, 2006).
17. N. Bhardwaj, K.-K. Yan, M. B. Gerstein, Proc. Natl. Acad. Sci. U.S.A. 107, 6841-6846 (2010).
18. H. Yu, M. Gerstein, Proc. Natl. Acad. Sci. U.S.A. 103, 14724-14731 (2006).
19. L. J. van 't Veer et al., Nature 415, 530-536 (2002).
20. E. Bullmore, O. Sporns, Nat. Rev. Neurosci. 10, 186-198 (2009).
21. M. Girvan, M. E. J. Newman, Proc. Natl. Acad. Sci. U.S.A. 99, 7821-7826 (2002).
22. F.-J. Müller, A. Schuppert, Nature 478, E4 (2011).
23. W. K. Kroeze, D. J. Sheffler, B. L. Roth, J. Cell Sci. 116, 4867-4869 (2003).
24. J. S. Gutkind, Sci. STKE 2000, re1 (2000).
25. M. J. Marinissen, J. S. Gutkind, Trends Pharmacol. Sci. 22, 368-376 (2001).