Planar graph algorithms constitute a pivotal area in theoretical computer science, addressing problems where graphs can be drawn on a plane without edge crossings. Among the myriad challenges in ...

Computer scientists have been searching for an algorithm that can quickly determine whether you can make the desired change while keeping the graph planar and without checking every single part of the ...

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

Refining with colors Mathematicians have developed various strategies to compare graphs. Since the 1970s, algorithms have been able to test graph isomorphism, but in exponential time.

If also the network is k-planar, i.e., the graph is planar with all demand nodes lying on the boundary of k faces, the method requires at most 𝑛 2 − 𝑘 𝑑 3 𝑘 + 𝑠 𝑑 2 𝑘 operations. The algorithm ...

If G is a planar graph, we may add edges to construct a maximal planar graph H containing G, so that H triangulates the sphere. If G is toroidal, then by adding edges we can extend G to a maximal ...

On the 19th of February 2025, M.Sc. Andreas Grigorjew defends his PhD thesis on Algorithms and Graph Structures for Splitting Network Flows, in Theory and Practice. The thesis is related to research ...