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 ...

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 ...

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

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

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.

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

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 ...

A new algorithm corrects connection points of objects fabricated by wire bending machine to optimize stability, say investigators.