Approaches of influence maximization in social networks with positive and negative opinions
Keywords:
Viral marketing, Influence maximization, Social network, Negative opinions, LTN modelAbstract
In viral marketing, considering the phenomenon that nega
tive opinions may emerge and propagate in social networks,
based on the fundamental linear threshold model (LT), a new
model – linear threshold model with negative opinions (LTN)
was proposed in this study. Subsequently, some properties of
the LTN model, such as monotonicity and submodularity have
been shown. With these properties, a greedy approximate al
gorithm with a ratio of (1-1/e) for influence maximization on
the LTN model was proposed. To overcome the inefficiency of
the greedy algorithm, three improved algorithms—LTN_New
Greedy (NewGreedy algorithm on LTN), LTN_CELF(CELF
algorithm on LTN) and LTN_MixedGreedy (MixedGreedy
algorithm on LTN) have been provided in this work. The ex
perimental results on two synthetic datasets showed that the
influence spread of these improved algorithms was close to
that of those benchmark algorithms, but they were faster than
those benchmark algorithms.