Abstract: Vertex-frequency analysis (VFA) is a useful technique in graph signal processing to extract the correspondence between frequencies and vertices. VFA can be calculated by the windowed graph ...

Directed graphs and their afferent/efferent capacities are produced by Markov modeling of the universal cover of undirected graphs simultaneously with the calculation of volume entropy. Using these ...

A set of vertices with each vertex having zero or more labels and zero or more properties/attributes. A set of edges with each edge being directed from one vertex to another vertex. Each edge has zero ...

Directed graphs are crucial in modeling complex real-world systems, from gene regulatory networks and flow networks to stochastic processes and graph metanetworks. Representing these directed graphs ...

Graph theory is an integral component of algorithm design that underlies sparse matrices, relational databases, and networks. Improving the performance of graph algorithms has direct implications to ...

Trophic coherence and non-normality are both ways of describing the overall directionality of directed graphs or networks. Trophic coherence can be regarded as a measure of how neatly a graph can be ...

Abstract: We introduce the directed Flip-Chain algorithm, which transforms the regular directed graph into another regular directed graph by swapping two adjacent vertices in the trail of directed ...

In this blog post, I will begin by introducing the concept of cut sparsifier for a given graph \(G\), which has been a powerful tool in the design of graph algorithms. Following that, I will present a ...