Title :
Study of near consensus complex social networks using eigen theory
Author :
Ling, Bingo Wing-Kuen ; Stewart, Paul ; Teo, Kok-Lay ; Tse, Chi K.
Author_Institution :
Sch. of Eng., Univ. of Lincoln, Lincoln, UK
Abstract :
This paper extends the definition of an exact consensus complex social network to that of a near consensus complex social network. A near consensus complex social network is a social network with nontrivial topological features and steady state values of the decision certitudes of the majority of the nodes being either higher or lower than a threshold value. By using eigen theories, the relationships among the vectors representing the steady state values of the decision certitudes of the nodes, the influence weight matrix and the set of vectors representing the initial state values of the decision certitudes of the nodes that satisfies a given near consensus specification are characterized.
Keywords :
complex networks; decision making; matrix algebra; vectors; consensus complex social network; decision certitude; eigen theory; initial state value; nontrivial topological feature; steady state value; threshold value; vector set; weight matrix; Complex networks; Eigenvalues and eigenfunctions; Indexes; Proposals; Social network services; Steady-state; Vectors;
Conference_Titel :
Circuits and Systems (ISCAS), 2011 IEEE International Symposium on
Conference_Location :
Rio de Janeiro
Print_ISBN :
978-1-4244-9473-6
Electronic_ISBN :
0271-4302
DOI :
10.1109/ISCAS.2011.5938014
