Azarbaijan Shahid Madani University

About: Azarbaijan Shahid Madani University is a education organization based out in Tabriz, Iran. It is known for research contribution in the topics: Graphene & Nanocomposite. The organization has 1477 authors who have published 3186 publications receiving 30278 citations. The organization is also known as: Azarbaijan University.

A new centrality measure based on the negative and positive effects of clustering coefficient for identifying influential spreaders in complex networks

Abstract: Identifying the most influential spreaders with the aim of reaching a maximum spreading ability has been a challenging and crucial topic so far. Many centrality measures have been proposed to identify the importance of nodes in spreader detection process. Centrality measures are used to rank the spreading power of nodes. These centralities belong to either local, semi-local, or global category. Local centralities have accuracy problem and global measures need a higher time complexity that are inefficient for large-scale networks. In contrast, semi-local measures are popular methods that have high accuracy and near-linear time complexity. In this paper, we have proposed a new semi-local and free-parameter centrality measure by applying the natural characteristics of complex networks. The proposed centrality can assign higher ranks for structural holes as better spreaders in the network. It uses the positive effects of second-level neighbors’ clustering coefficient and negative effects of node's clustering coefficient in defining the importance of nodes. Therefore, the proposed centrality avoids selection of spreaders that are too close to one another. We compare the proposed method with different centrality measures based on Susceptible–Infected–Recovered (SIR) and Susceptible–Infected (SI) models on both artificial and real-world networks. Experiments on both artificial and real networks show that our method has its competitive advantages over the other compared centralities.

On the existence of solutions for a multi-singular pointwise defined fractional q -integro-differential equation

Abstract: By using the Caputo type and the Riemann–Liouville type fractional q-derivative, we investigate the existence of solutions for a multi-term pointwise defined fractional q-integro-differential equation with some boundary value conditions. In fact, we give some results by considering different conditions and using some classical fixed point techniques and the Lebesgue dominated convergence theorem.