TY - GEN
T1 - On critical thresholds for influence spreading
AU - Cai, Kai
AU - Zhang, Junshan
PY - 2012
Y1 - 2012
N2 - We investigate the problem of influence maximization in a social network. Building on the widely used threshold diffusion model where each node has a threshold and is activated when the influence it receives is above the threshold, we define a critical threshold vector as a vector (consisting of the thresholds for all nodes) that guarantees influence spreading to the entire network, but any larger threshold vector would result in spreading to only part of the network. We show that a critical threshold vector can be translated to a graph coloring, based on which we establish a necessary condition for influence maximization. Further, we propose a k-neighborhood decomposition method to construct a critical threshold vector, and show that this method can be used to find a large family of critical threshold vectors. We also explore the connection between critical threshold vectors and graph orientations, as well as the properties of the k-neighborhood decomposition.
AB - We investigate the problem of influence maximization in a social network. Building on the widely used threshold diffusion model where each node has a threshold and is activated when the influence it receives is above the threshold, we define a critical threshold vector as a vector (consisting of the thresholds for all nodes) that guarantees influence spreading to the entire network, but any larger threshold vector would result in spreading to only part of the network. We show that a critical threshold vector can be translated to a graph coloring, based on which we establish a necessary condition for influence maximization. Further, we propose a k-neighborhood decomposition method to construct a critical threshold vector, and show that this method can be used to find a large family of critical threshold vectors. We also explore the connection between critical threshold vectors and graph orientations, as well as the properties of the k-neighborhood decomposition.
KW - Critical Threshold Vector
KW - Influence Spreading
KW - Social Network
UR - http://www.scopus.com/inward/record.url?scp=84868566931&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84868566931&partnerID=8YFLogxK
U2 - 10.1109/CISS.2012.6310716
DO - 10.1109/CISS.2012.6310716
M3 - Conference contribution
AN - SCOPUS:84868566931
SN - 9781467331401
T3 - 2012 46th Annual Conference on Information Sciences and Systems, CISS 2012
BT - 2012 46th Annual Conference on Information Sciences and Systems, CISS 2012
T2 - 2012 46th Annual Conference on Information Sciences and Systems, CISS 2012
Y2 - 21 March 2012 through 23 March 2012
ER -