ing of power-law degree distributions the underlying connections between different flow-driven dynamics and the mechanism leading to accele

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7 2-3 Vol. 7 No. 2-3 2010 9 COMPLEX SYSTEMS AND COMPLEXITY SCIENCE Sep. 2010 1672-3813 2010 02-03 - 0173-14 1 2 1 3 4 5 6 7 8 9 10 1. CH - 1700 2. 430072 3. 050043 4. D - 14469 5. 100876 6. 200444 7. 550005 8. 102413 9. 610054 10. 230026 N94 A Looking into Complex Networks L Lin-yuan 1 LU Jun-an 2 ZHANG Zi-ke 1 YAN Xiao-yong 3 WU Ye 4 5 SHI Ding-hua 6 ZHOU Hai-ping 7 FANG Jin-qing 8 ZHOU Tao 9 10 1. Department of Physics University of Fribourg Fribourg 1700 Switzerland 2. School of Mathematics and Statistics Wuhan University Wuhan 430072 China 3. Department of Transportation Engineering Shijiazhuang Tiedao University Shijiazhuang 050043 China 4. Interdisciplinary Center for Dynamics of Complex Systems University Potsdam Potsdam D-14469 Germany 5. School of Science Beijing University of Posts and Telecommunications Beijing 100876 6. Department of Mathematics Shanghai University Shanghai 200444 China 7. Department of Computer Science Guiyang College Guiyang 550005 China 8. China Institute of Atomic Energy Beijing 102413 China 9. Web Sciences Center University of Electronic Science and Technology of China Chengdu 610054 China 10. Department of Modern Physics University of Science and Technology of China Hefei 230026 China Abstract This article summaries the discussions about the open issues and research tendency of complex networks by several active scholars. The statement covers both fundamental problems like the understand- 2010-06 - 21 1984 -

174 2010 9 ing of power-law degree distributions the underlying connections between different flow-driven dynamics and the mechanism leading to acceleratingly growing and the in-depth analyses like the understanding of mesoscales in complex networks. Moreover we introduce some typical interdisciplinary studies where complex networks play a major role including the link prediction in complex networks recommender systems for user-object bipartite networks the integration of cyber physical systems and complex networks the human dynamics in the online network space and the possibly important role of the studies of complex networks in national security. Key words complex networks degree distribution acceleratingly growing synchronization epidemic spreading network traffic flow-driven dynamics mesoscales link prediction recommender systems cyber physical systems human dynamics 1 1998 Watts Strogatz 1 1999 Barabási Albertt 2 1 10 2000 ~ 200910 complex networks topic SCI 4 925 76 834 1 2 SCI 1 318 1 SCI 2 SCI 1 318 7 229

7 2-3 175 2 Barabási 3 4-6 7-9 10-13 3 3 2 4 1 3 2 7 1 3 2 10 1 3 2 10 13 3 2 1 14 1 1 Barabási 2 BA 7 7 2 2 2 2 3 2 t - 1 2 t 2 t + 1 3 t 3 t - 1 3 t - 2 3 2 3 3 3 3 t + 1 /2 7 2 2 2 2 3 2 3 2 7 3 2 1 3 2 7 Heaviside 4 1 1 1

176 2010 9 k 1 3 2005 1 Motter Kurths E 15 1 k k k 16 17 2005 E 2 590 3 2006 2 2006 4 E 18 19 2006 E 2 425 6 4 k k α k α 1-1 flow-driven dynamics contact process k f k f k = 1 /k f k 2008 12 E 20 4 CHAOS 20 010202 2010 Announcement Focus Issue on Mesoscales in Complex Networks Mesoscales 2006 21

7 2-3 177 21 motifs cliques cores loops Lyapunov 22 KM ER SF 0 SF ER SF ER SF GC NC GC SF ER NC ER SF ER GC SF ER NC SF SF hubs hubs ER SF SF ER 23-24 1 SF hubs ER SF ER 2 SF 3 5

178 2010 9 25 26-32 m t m t 25 27 33 34 6

7 2-3 179 35 36 37 Liben-Nowell Kleinberg 38 39 6 9 resource allocation index local path 9 40 41 42 43 5

180 2010 9 Clauset Moore Newman 44 Guimera Sales-Pardo 37 Stochastic Block Model 44 45 Leskovec Huttenlocher Kleinberg 46 Multi-Partite Networks 1 2 3 4 5 7 The Big Bang Theory Shelton Heat Conduction

7 2-3 181 47-48 - Mass Diffusion 49-53 Random Walk 48 53 48 8 Cyber physical system CPS CPS 54-55 Internet CPS

182 2010 9 CPS CPS CPS CPS CPS 8. 1 CPS 20 40 CPS CPS CPS NSF CPS CPS 2007 7 PCAST CPS 8. 2 CPS RFID RFID CPS RFID CPS CPS RFID CPS CPS 56 CPS CPS / 57 8. 3 CPS CPS CPS CPS CPS / CPS CPS CPS 1 CPS 2 CPS 3 CPS 8. 4 CPS 10 CPS

7 2-3 183 CPS CPS CPS CPS 9 2005 58 - Barabási Nature 59 Barabási inter-event inter-event power-law Weill Barabási inter-event time BBS interevent BBS BBS 3 A B B A A

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