Graphs are collections of nodes connected by edges. They can be used to represent everything from a social network to road systems to the electrical connections on a circuit board. In circuit boards, ...

When adding a new edge to a planar graph is required, there are two scenarios: There is a safe way to add the edge, possibly after modifying the drawing, or no drawing admitting the edge exists.

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: A graph that can be drawn on a plane without any edges crossing. Graph Colouring: The process of assigning colours to elements of a graph, typically vertices, ...

Why it made the cut: The HIFIMAN Sundara are detail powerhouses for their price and a gateway drug to the wider world of planar magnetics.. To start off, budget is relative. To some (like our ...

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 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 catalytic alloy tailored to optimal SiC graphitization is pre-patterned with common lithography and lift-off techniques to form planar graphene structures on top of an unpatterned SiC layer. This ...

The graph below shows the total number of publications each year in Graph Coloring and Planar Graphs. References [1] 2-Distance Choosability of Planar Graphs with a Restriction for Maximum Degree .