And it’s even harder to tell whether a complicated planar graph stays planar when you start adding edges as you might when planning a new stretch of highway. Computer scientists have been searching ...

Engineers could use this breakthrough in graph theory to design wildly efficient quantum computer chips.

Graph colouring remains a central topic in graph theory, providing the mathematical framework for assigning colours to the elements of a graph under specific constraints. In particular, the ...

Scientists have developed an exact approach to a key quantum error correction problem once believed to be unsolvable, and have shown that what appeared to be hardware-related errors may in fact be due ...

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 ...

Let us say that a graph is k- apex if it contains a set of at most k vertices whose removal yields a planar graph. We define the apex number of a graph G as the minimum k for which G is k-apex.

A new technical paper titled “Fabrication of graphene field effect transistors on complex non-planar surfaces” was published by researchers at Imperial College London. Abstract “Graphene field effect ...

A technical paper titled “Direct synthesis of nanopatterned epitaxial graphene on silicon carbide” was published by researchers at University of Technology Sydney, Ludwig-Maxilimians Universität ...