Title: An Importance Measure of Actors (Set) within a Network
Abstract:It has been a valuable research topic to measure the importance of an actor (set) within a network in the fields of both social network analysis and system science. Most of the measures in social netw...It has been a valuable research topic to measure the importance of an actor (set) within a network in the fields of both social network analysis and system science. Most of the measures in social network analysis focused on enlarging the differences among the actors embedded in a network for some attributes of connections among the actors,so as to differenti- ate the importance of different actors. In system science research, connectivity is used to characterize the integrality of a system function, the importance of an actor (set) within a network is characterized as the extent to which the network has been destroyed by deleting an actor (set) (Xu,Xi and Wang,1993). But up to now, this notion has not been quantified in real meaning. It is impossible for us to provide a better description to the differences in structure and position property of different actors or networks unless the size and form of connected components resulted from deleting an actor (set) are taken into account. This paper use the sum of reciprocal of all geodesics between a pair of disconnected actors caused by deleting an actor (set) to characterize the extent to which the network has been destroyed, i.e. the importance index of deleting an actor (set). The notion of equaling importance to endangerment (Xu,Xi and Wang,1993; Xi Tang,2002) has been nicely quantified in this work.Read More
Publication Year: 2004
Publication Date: 2004-01-01
Language: en
Type: article
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Cited By Count: 28
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