This presents a set-based topological sorting algorithm for directed acyclic graphs (DAG). Unlike traditional algorithms that produce a linear order of nodes, it yields a linear sequence of sets of ...

A topological space $(X, T)$ with property $R$ is maximal $R$ (minimal $R$) if $T$ is a maximal (minimal) element in the set $R(X)$ of all topologies on the set $X ...

A maximal element theorem is proved in finite weakly convex spaces (FWC-spaces, in short) which have no linear, convex, and topological structure. Using the maximal element theorem, we develop new ...

This paper deals with the relationship between the periodic orbits of continuous maps on graphs and the topological entropy of the map. We show that the topological entropy of a graph map can be ...

// details: Topological sorting for Directed Acyclic Graph (DAG) is a linear ordering of vertices such that for every directed edge u v, vertex u comes before v in the ordering. Topological Sorting ...

Abstract: Dynamic task graph scheduling (DTGS) has become a powerful tool for parallel and heterogeneous applications, such as static timing analysis and large-scale machine learning. DTGS allows ...

In mathematics and computer science, a directed acyclic graph, is a finite directed graph with no directed cycles. It consists of finitely many vertices and edges, with each edge directed from one ...