Graph burning is a process to determine the spreading of information in graph. If sequence vertices burns all graph by following process, then such known as sequence. The problem consists finding minimum length for given solution this NP-hard combinatorial optimization helps quantify graph’s vulnerability contagion. This paper introduces simple farthest-first traversal-based approximatio...

We study the farthest point mapping in a p-normed space X in virtue of subdifferential of rx sup{{x − z p : z ∈ M}, where M is a weakly sequentially compact subset of X. We show that the set of all points in X which have farthest point in M contains a dense G δ subset of X.

nowadays, air pollution in cities with regard to its harmful outcomes has been turned into one of the serious challenges in urban management. pollutants as carbon monoxide, sulfur dioxide, and the aerosols that are known to be among the most important factors related to heart, vascular, and lung disease, have underlined public welfare and health, and the organizations concerned with community h...

Category co-citation and its representation through social networks is proving to be a very adequate technique for the visualization and analysis of great scientific domains. Its combination with pathfinder networks using pruning values r=∞and q=n−1 makes manifest the essence of research in the domain represented, or what we might call the `most salient structure'. The possible loss of structur...

in this paper we obtain a necessary and a sufficient condition for the set of ω_0-nearest points ( ω_0-farthest points) to be non-empty or a singleton set in normed linear spaces. we shall find a necessary and a sufficient condition for an uniquely remotal set to be a singleton set.

Pareto-optimal objects are favored as each of such objects has at least one competitive edge against all other objects, or “not dominated.” Recently, in the database literature, skyline queries have gained attention as an effective way to identify such pareto-optimal objects. In particular, this paper studies the pareto-optimal objects in perspective of facility or business locations. More spec...