Locating landfills in urban areas is one of the most important issues in urban planning because of the effect on economy, ecology, and environment, therefore the right management and principled landfilling of solid waste is the major concern all over the world especially in the developed countries. In locating landfills, different criteria should be considered. In the present study, locating si...

Locating sources of diffusion and spreading from minimum data is a significant problem in network science with great applied values to the society. However, a general theoretical framework dealing with optimal source localization is lacking. Combining the controllability theory for complex networks and compressive sensing, we develop a framework with high efficiency and robustness for optimal s...

In this paper we provide a finite set of candidates to be one of the endpoints of an optimal solution for the problem of locating simultaneously a service facility and a rapid transit line.

A set C of vertices in a graph G = (V,E) is total dominating in G if all vertices of V are adjacent to a vertex of C. Furthermore, if a total dominating set C in G has the additional property that for any distinct vertices u, v ∈ V \ C the subsets formed by the vertices of C respectively adjacent to u and v are different, then we say that C is a locating-total dominating set in G. Previously, l...

An open-locating-dominating set (OLD-set) is a subset of vertices of a graph such that every vertex in the graph has at least one neighbor in the set and no two vertices in the graph have the same set of neighbors in the set. This is an analogue to the well-studied identifying code in the literature. In this paper, we prove that the optimal density of the OLD-set for the infinite triangular gri...

The behaviors of trajectories of nonlinear dynamical systems are notoriously hard to characterize and predict. Rather than characterizing dynamical behavior at the level of trajectories, we consider following the evolution of sets. There are often collections of sets that behave in a very predictable way, in spite of the fact that individual trajectories are entirely unpredictable. Such special...

The Transit Network Timetabling and Scheduling Problem (TNTSP) aims at determining optimal timetables for each line in a transit network by establishing departure and arrival times at each station allocating a vehicle to each timetable. Customers could know departure times of the line runs offered by the system in a regular way. However, each user, traveling later or in advance than their desir...

In order to cope with global climate change, an electric vehicle (EV) and new energy building are constantly being innovated improved. With the popularity application of big data Internet Things, available charging piles may also become a station, which can solve problem difficult EVs promote local consumption building. Therefore, this study proposes shared concept for buildings, that is, photo...