but the reality is that although these pure graph theory algorithms are decidedly influential, they cannot be applied verbatim to the reality of graph traversal between destinations in the ...

You may have seen the “no-lift pencil” puzzles online — challenges that ask you to draw a shape without lifting your pencil ...

We prove that every graph with at most (3.75 - o(1))n edges has a 2-coloring ... In the noisy channel model from coding theory, we wish to detect errors introduced during transmission by optimizing ...

According to mathematical legend, Peter Sarnak and Noga Alon made a bet about optimal graphs in the late 1980s. They’ve now ...

The increasing complexity of modern chemical engineering processes presents significant challenges for timely and accurate anomaly detection. Traditional ...

This is the case with an important problem in computer science called "graph isomorphism testing" whereby scientists use ...

This approach echoes the pioneering spirit of Leonard Euler, Father of graph theory whose “Seven Bridges of Königsberg” problem introduced foundational principles in the field. By conceptualizing ...

Your next career opportunity You will have the opportunity to contribute to groundbreaking research in algebraic graph theory as part of an ARC-funded Discovery Project at the University of Melbourne.

Landmark results in Ramsey theory and a remarkably simple aperiodic tile capped a year of mathematical delight and discovery. The Quanta Newsletter ...