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 ...

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 ...

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

In recent years, the field of embodied intelligence has witnessed significant advancements, with applications ranging from autonomous robotics and ...

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.

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 ...

Today Memgraph, the streaming graph application platform, announced Memgraph 2.0, the public launch of its source-available platform, making it easy f ...

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