It’s often assumed that Dijkstra’s algorithm, or the A* graph traversal algorithm is used, but the reality is that although these pure graph theory algorithms are decidedly influential, they ...

Algorithm that speeds ... question in graph theory — the mathematical study ... it has been difficult for mathematicians to find two graphs that caused the best theoretical matching algorithm to ...

The new algorithm checks planarity in a number of steps proportional to the cube of the logarithm of the number of nodes in the graph — an exponential improvement. Holm and Rotenberg, a computer ...

In theory, it cannot be ruled out that the algorithms might run for longer than the age of the universe. But in practice, ...

Continue reading “Where Graph Theory Meets The Road: The Algorithms Behind Route Planning” → Posted in Featured , History , Interest , Slider , Transportation Hacks Tagged graph theory ...

Graph isomorphism in quasipolynomial time I: The “Local Certificates Algorithm.” Combinatorics and Theoretical Computer Science seminar, Chicago, November 10, 2015.

Market design and stable matching theory form the cornerstone of modern economic mechanism design, addressing the fundamental challenge of allocating scarce resources amid complex and often ...