Abstract: Graph filters play a key role in processing the graph spectra of signals supported on the vertices of a graph. However, despite their widespread use, graph filters have been analyzed only in ...

Sperm whales, which make clicking sounds to communicate, use different “vowels” in ways similar to human speech ...

Abstract: Coloring for random graph from G(n,1/2) is a classic example exhibiting an Information v. Computation gap: it has chromatic number of Theta(n/log n) w.p. 1-o(1) while the best efficiently ...

Discrete structures are omnipresent in mathematics, computer science, statistical physics, optimisation and models of natural phenomena. For instance, complex random graphs serve as a model for social ...

As mathematical abstractions go, graphs are among the simplest. Scatter a bunch of points in a plane. Connect some of them with lines. That’s all a graph is. And yet they are incredibly powerful. They ...

Ramsey problems, such as r(4,5) are simple to state, but as shown in this graph, the possible solutions are nearly endless, making them very difficult to solve. (cr: Jacques Verstraete) We’ve all been ...

I'm a Senior Software Engineer and Engineering Director with 15... Inspired while creating a maze map for the Wall-E project, follow this tutorial to explore ways to algorithmically generate mazes ...

Abstract: Distributed consensus computation over random graph processes is considered. The random graph process is defined as a sequence of random variables which take values from the set of all ...