A study of the electrical properties of complex resistor network based on NW model

The power and resistance of two-port complex resistor network based on NW small world network model are studied in this paper. Mainly, we study the dependence of the network power and resistance on the degree of port vertices, the connection probability and the shortest distance. Qualitative analysis and a simplified formula for network resistance are given out. Finally, we define a branching parameter and give out its physical meaning in the analysis of complex resistor network.

[1]  Amedeo Caflisch,et al.  Efficient modularity optimization by multistep greedy algorithm and vertex mover refinement. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  Dennis M. Wilkinson,et al.  A method for finding communities of related genes , 2004, Proceedings of the National Academy of Sciences of the United States of America.

[3]  Zhi-Zhong Tan,et al.  Two-point resistance of a resistor network embedded on a globe. , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.

[4]  Mark E. J. Newman,et al.  Community detection and graph partitioning , 2013, ArXiv.

[5]  Fang Wu,et al.  Finding communities in linear time: a physics approach , 2003, ArXiv.

[6]  Ming-Chang Huang,et al.  Asymptotic expansion for the resistance between two maximally separated nodes on an M by N resistor network. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  N.Sh. Izmailian,et al.  The two-point resistance of a resistor network: a new formulation and application to the cobweb network , 2013, 1310.1335.

[8]  Mark E. J. Newman,et al.  Spectral methods for network community detection and graph partitioning , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  Zhi-zhong Tan,et al.  The equivalent resistance of a 3 × n cobweb network and its conjecture of an m × n cobweb network , 2013 .

[10]  Albert-László Barabási,et al.  Statistical mechanics of complex networks , 2001, ArXiv.

[11]  C. Lee Giles,et al.  Self-Organization and Identification of Web Communities , 2002, Computer.

[12]  Leon Danon,et al.  Comparing community structure identification , 2005, cond-mat/0505245.

[13]  Mark E. J. Newman,et al.  The Structure and Function of Complex Networks , 2003, SIAM Rev..

[14]  M. Newman,et al.  Renormalization Group Analysis of the Small-World Network Model , 1999, cond-mat/9903357.

[15]  F. Y. Wu Theory of resistor networks: the two-point resistance , 2004 .

[16]  Yuan Ping,et al.  EMERGING CLUSTER ANALYSIS OF SCI JOURNALS AND ITS EFFICIENCY , 2011 .

[17]  M E J Newman,et al.  Finding and evaluating community structure in networks. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.