From the global world to the Local-world
From the global world to the Local-World
Why Evolving in Local-World? Local-World conceptualized in many fields Local-World in our brains and viewpoints Local-World preferential mechanism
Why Evolving in Local-World? • Local-World conceptualized in many fields • Local-World in our brains and viewpoints • Local-World preferential mechanism
Physical Local-Worlds · Internet/ Domain orea World Trade web/Regional United States Economy Cooperative Organizations EU, AsEAN, NAFTA,…) Domain 2 KERK Doman,.Protein networks/Family, Super F amily Social Networks/ Community Domain 3
Physical Local-Worlds • Internet / Domain • World Trade Web / Regional Economy Cooperative Organizations (EU, ASEAN, NAFTA,……) • Protein networks/ Family, Super Family • Social Networks / Community • ……
The local-world evolving model Growth (ii) Determine the Local-world for the new node Random selection (ii)Preferential Attachment in Local World A new node is linked with the higher probability to a node in his Local-World that already has a large number of links II(k)=∏(i∈ Local-world) k Local-world
(i) Growth (iii)Preferential Attachment in LocalWorld A new node is linked with the higher probability to a node in his Local-World that already has a large number of links. The Local-World evolving model (ii) Determine the Local-world for the new node Random selection ' Local-world Local-world ( ) ( Local-world) i i j j k k i k
Local-world model Generating the local-World evolving network: (1)Start with a small number mo of nodes with eo edges (2) Select M nodes randomly from the system to be the local-world and use it for the next step 3)Add a new node with m edges to link to m nodes in the above local-world (4) Apply"“ preferential attachment” k II(k) ouwo)=(∈ ocal-world), k Local-world
Local-world model Generating the Local-World evolving network: (1) Start with a small number m0 of nodes with e0 edges (2) Select M nodes randomly from the system to be the Local-World and use it for the next step (3) Add a new node with m edges to link to m nodes in the above Local-World (4) Apply “preferential attachment” - ' Local-world Local-world ( ) ( Local-world) i i j j k k i k j j i i k k (k )