For instance, a study on maximum weight disjoint paths in outerplanar graphs has introduced single-tree cut approximators to yield constant-factor approximations for edge-disjoint paths [2].

Graph algorithms and network analysis form the backbone of modern computational techniques used to decode the complex structures and dynamic behaviours exhibited by diverse real-world networks.

A new algorithm efficiently solves the graph isomorphism problem, which has puzzled computer scientists for decades.

In such cases, the fastest known shortest-path algorithm doesn’t work. For decades, fast algorithms for finding shortest paths on negative-weight graphs have remained elusive.

A professor has helped create a powerful new algorithm that uncovers hidden patterns in complex networks, with potential uses in fraud detection, biology and knowledge discovery.

Two computer scientists found — in the unlikeliest of places — just the idea they needed to make a big leap in graph theory.

This is a preview. Log in through your library . Abstract We obtain a sharp result that for any even 𝑛 ≥ 34, every {𝐷𝑛, 𝐷𝑛+1}-regular graph of order 𝑛 contains [𝑛/4] disjoint perfect matchings, ...

Where Graph Theory Meets The Road: The Algorithms Behind Route Planning 33 Comments by: Maya Posch April 4, 2024 ...