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 ...

Embodied intelligence applications, such as autonomous robotics and smart transportation systems, require efficient coordination of multiple agents in dynamic environments. A critical challenge in ...

Problem 1: Find a subquadratic algorithm for testing if a given graph is 1-planar. It is also easy to check in cubic time if G is 2-apex by testing planarity of all 2-vertex-deleted subgraphs. More ...

In this paper, we describe three graph theoretic heuristics that attempt to determine an optimal planar adjacency graph from a REL chart. Our computational experience suggests that these methods can ...

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 ...