The first ever result in graph theory is the Königsberg Bridge Problem, solved by Euler in 1736, which concerns walks in a graph that traverse every edge exactly once. Nowadays, they are called Euler ...

For finite graphs it is well known that the third power of a connected graph is hamiltonian. ... Graph Theory, Third Edition, Springer, 2005. [2] P. Haxell, B. Seamone, J. Verstraete, Independent ...

Commuting graphs have emerged as a powerful framework for elucidating complex relationships within finite group theory. In these graphs, vertices typically represent non-central elements of a ...

Read the post Finite Model Theory and Game Comonads: Part 2 Weblog: The n-Category Café Excerpt: In the Part 1 of this post, we saw how logical equivalences of first-order logic (FOL) can be ...

Abstract: Expander graphs are highly connected sparse finite graphs. The property of being an expander seems significant in many of these mathematical, computational and physical contexts. Even more, ...

We propose a sampling theory for finite-dimensional vectors with a generalized bandwidth restriction, which follows the same paradigm of the classical sampling theory. We use this general result to ...