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 ...

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 ...

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.

St. Petersburg University of Aerospace Instrumentation. For system tasks we could form a rate of messages flows between nodes of different type’s matrix L. The value of element Lij of this matrix is ...

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