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 ...

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

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

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

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 ...

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

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