Abstract Scale-free percolation is a stochastic model for complex networks. In this spatial random graph model, vertices $x,y\in\mathbb{Z}^d$ are linked by an edge with probability depending on independent and identically distributed vertex weights the Euclidean distance $|x-y|$ . Depending various parameters involved, we get rich phase diagram. We study compare it to of vertices. Our main atte...

Social recommendation systems can improve quality in cases of sparse user–item interaction data, which has attracted the industry’s attention. In reality, social mostly mine real user preferences from networks. However, trust relationships networks are complex and it is difficult to extract valuable preference information, worsens performance. To address this problem, paper proposes a algorithm...