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 this ...

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 ...

Back in the hazy olden days of the pre-2000s, navigating between two locations generally required someone to whip out a paper map and painstakingly figure out the most optimal route between those ...

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

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 ...

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 ...

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

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 ...